* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Setting MPFR precision to 1600 * * * * [misc]points: Setting MPFR precision to 1856 * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 193 additional inputs, on iter 1 have 63 / 256 * * * * [misc]points: Computing exacts on every 12 of 193 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 6 of 193 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 193 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 193 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 140 additional inputs, on iter 2 have 116 / 256 * * * * [misc]points: Computing exacts on every 8 of 140 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 4 of 140 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 140 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 140 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 108 additional inputs, on iter 3 have 148 / 256 * * * * [misc]points: Computing exacts on every 6 of 108 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 108 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 108 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 84 additional inputs, on iter 4 have 172 / 256 * * * * [misc]points: Computing exacts on every 5 of 84 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 84 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 84 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 62 additional inputs, on iter 5 have 194 / 256 * * * * [misc]points: Computing exacts on every 3 of 62 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 62 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 44 additional inputs, on iter 6 have 212 / 256 * * * * [misc]points: Computing exacts on every 2 of 44 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 44 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 34 additional inputs, on iter 7 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 34 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 28 additional inputs, on iter 8 have 228 / 256 * * * * [misc]points: Computing exacts for 28 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 22 additional inputs, on iter 9 have 234 / 256 * * * * [misc]points: Computing exacts for 22 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 15 additional inputs, on iter 10 have 241 / 256 * * * * [misc]points: Computing exacts for 15 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 * * * * [misc]points: Computing exacts for 12 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 12 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 13 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 14 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (log (+ x (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (- (* x x) 1)) x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (- (* x x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (- (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ x (sqrt (- (* x x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ x (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (+ x (sqrt (- (* x x) 1))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* x x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ (sqrt -1) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) x)) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 * [misc]backup-simplify: Simplify (+ 0 -1/16) into -1/16 * [misc]backup-simplify: Simplify -1/16 into -1/16 * [misc]backup-simplify: Simplify (+ (* -1/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) (* -1/2 (/ 1 (- x))))) into (+ (* 1/8 (/ 1 (pow x 3))) (+ (* 1/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (- (* x x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* x x) 1) in x * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) -1) into (- (pow x 2) 1) * [misc]approximate: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 x) (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ -1 (* 1 (pow (/ 1 (/ 1 x)) 2))) into (- (pow x 2) 1) * [misc]approximate: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- x)) (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ -1 (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (- (pow x 2) 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (log (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (log (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (exp (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (exp (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1)))) * [enter]simplify: Simplifying (cbrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (+ (* x x) -1) (sqrt (+ (* x x) -1))) * [exit]simplify: Simplified to (* (+ (* x x) -1) (sqrt (+ (* x x) -1))) * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- (* x x) 1))) * [exit]simplify: Simplified to (fabs (cbrt (- (* x x) 1))) * [enter]simplify: Simplifying (sqrt (cbrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (cbrt (- (* x x) 1))) * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ -1 x)) * [exit]simplify: Simplified to (sqrt (+ -1 x)) * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (* x x) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow x 6) -1)) * [exit]simplify: Simplified to (sqrt (+ (pow x 6) -1)) * [enter]simplify: Simplifying (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ 1 (pow x 4)) (* x x))) * [exit]simplify: Simplified to (sqrt (+ (+ 1 (pow x 4)) (* x x))) * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* x x) (* x x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (sqrt (+ -1 (pow x 4))) * [exit]simplify: Simplified to (sqrt (+ -1 (pow x 4))) * [enter]simplify: Simplifying (sqrt (+ (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) 1)) * [exit]simplify: Simplified to (sqrt (+ (* x x) 1)) * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [enter]simplify: Simplifying (sqrt (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (- (* x x) 1)) x)) * [exit]simplify: Simplified to (log (+ (sqrt (- (* x x) 1)) x)) * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt (+ (* x x) -1)) x)) * [exit]simplify: Simplified to (exp (+ (sqrt (+ (* x x) -1)) x)) * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ x (sqrt (- (* x x) 1)))) (cbrt (+ x (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (- (* x x) 1)) x)) (cbrt (+ (sqrt (- (* x x) 1)) x))) * [exit]simplify: Simplified to (* (cbrt (+ (sqrt (- (* x x) 1)) x)) (cbrt (+ (sqrt (- (* x x) 1)) x))) * [enter]simplify: Simplifying (cbrt (+ x (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (- (* x x) 1)) x)) * [exit]simplify: Simplified to (cbrt (+ (sqrt (- (* x x) 1)) x)) * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (pow (+ (sqrt (- (* x x) 1)) x) 3) * [exit]simplify: Simplified to (pow (+ (sqrt (- (* x x) 1)) x) 3) * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- (* x x) 1)) x)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- (* x x) 1)) x)) * [enter]simplify: Simplifying (sqrt (+ x (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- (* x x) 1)) x)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- (* x x) 1)) x)) * * * * [misc]progress: [ 22 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (sqrt (- (* x x) 1)) 3)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (+ (* x x) -1)) (+ (* x x) -1)) (pow x 3)) * [exit]simplify: Simplified to (+ (* (sqrt (+ (* x x) -1)) (+ (* x x) -1)) (pow x 3)) * [enter]simplify: Simplifying (+ (* x x) (- (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (* x (sqrt (- (* x x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (207 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (- (- (* x x) (- 1 (* x x))) (* x (sqrt (+ (* x x) -1)))) * [exit]simplify: Simplified to (- (- (* x x) (- 1 (* x x))) (* x (sqrt (+ (* x x) -1)))) * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (- x (sqrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (- x (sqrt (- (* x x) 1))) * [exit]simplify: Simplified to (- x (sqrt (- (* x x) 1))) * * * * [misc]progress: [ 25 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (- (* x x) 1)) * [exit]simplify: Simplified to (log (- (* x x) 1)) * * * * [misc]progress: [ 28 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * [exit]simplify: Simplified to (/ (exp (* x x)) E) * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) * [exit]simplify: Simplified to (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) * [enter]simplify: Simplifying (cbrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (cbrt (- (* x x) 1)) * [exit]simplify: Simplified to (cbrt (- (* x x) 1)) * * * * [misc]progress: [ 30 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * [exit]simplify: Simplified to (pow (- (* x x) 1) 3) * [exit]simplify: Simplified to (pow (- (* x x) 1) 3) * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [enter]simplify: Simplifying (sqrt (- (* x x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* x x) 3) (pow 1 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ -1 (pow x 6)) * [exit]simplify: Simplified to (+ -1 (pow x 6)) * [enter]simplify: Simplifying (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 (pow x 4))) * [exit]simplify: Simplified to (+ (* x x) (+ 1 (pow x 4))) * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* x x) (* x x)) (* 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ -1 (pow x 4)) * [exit]simplify: Simplified to (+ -1 (pow x 4)) * [enter]simplify: Simplifying (+ (* x x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (* x x) 1) * [exit]simplify: Simplified to (+ (* x x) 1) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [exit]simplify: Simplified to (+ 1 x) * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (+ x -1) * [exit]simplify: Simplified to (+ x -1) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 38 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (- (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) (* 1/8 (/ (pow x 4) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (log (+ (+ (* (pow x 4) (/ 1/8 (sqrt -1))) (sqrt -1)) (+ x (* (* 1/2 x) (/ x (sqrt -1)))))) * * * * [misc]progress: [ 39 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (log (- (- (+ x x) (/ 1/2 x)) (/ (/ 1/8 x) (* x x)))) * * * * [misc]progress: [ 40 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (log (+ (/ 1/2 x) (/ (/ 1/8 x) (* x x)))) * * * * [misc]progress: [ 41 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt -1) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (log (+ (+ x (sqrt -1)) (/ (* (* 1/2 x) x) (sqrt -1)))) * * * * [misc]progress: [ 42 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (log (+ (+ (/ -1/2 x) (* x 2)) (/ (/ -1/8 x) (* x x)))) * * * * [misc]progress: [ 43 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* 1/8 (/ 1 (pow x 3))) (+ (* 1/16 (/ 1 (pow x 5))) (* 1/2 (/ 1 x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (log (+ (+ (/ 1/16 (pow x 5)) (/ (/ 1/8 x) (* x x))) (/ 1/2 x))) * * * * [misc]progress: [ 44 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (sqrt (- (pow x 2) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (+ x (sqrt (+ -1 (* x x))))) * * * * [misc]progress: [ 45 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (sqrt (- (pow x 2) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (+ x (sqrt (+ -1 (* x x))))) * * * * [misc]progress: [ 46 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (sqrt (- (pow x 2) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (log (+ x (sqrt (+ -1 (* x x))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ x 1)) (sqrt (- x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ x 1)) (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (* (sqrt (+ x 1)) (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (* 1 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/2 (sqrt -1))) (* 1/2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/8 (pow (sqrt -1) 3))) (+ (* 1/2 (/ 1/2 (sqrt -1))) (* -1/8 (sqrt -1)))) into (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) into (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt -1)) (/ -1/8 (pow (sqrt -1) 3)))))) (* 2 (sqrt -1))) into (/ 1/16 (pow (sqrt -1) 5)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/16 (pow (sqrt -1) 5))) (+ (* 1/2 (/ -1/8 (pow (sqrt -1) 3))) (+ (* -1/8 (/ 1/2 (sqrt -1))) (* 1/16 (sqrt -1))))) into (- (+ (* 1/16 (sqrt -1)) (* 1/16 (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/16 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (- (+ (* 1/16 (sqrt -1)) (* 1/16 (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/16 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3))))) into (- (+ (* 1/16 (sqrt -1)) (* 1/16 (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/16 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/16 (sqrt -1)) (* 1/16 (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/16 (/ 1 (sqrt -1))) (* 1/16 (/ 1 (pow (sqrt -1) 3))))) (pow x 3)) (+ (* (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (pow x 2)) (sqrt -1))) into (- (+ (* 1/16 (* (sqrt -1) (pow x 3))) (+ (* 1/16 (/ (pow x 3) (pow (sqrt -1) 5))) (+ (sqrt -1) (* 1/4 (/ (pow x 2) (sqrt -1)))))) (+ (* 1/16 (/ (pow x 3) (sqrt -1))) (+ (* 1/8 (* (sqrt -1) (pow x 2))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/16 (/ (pow x 3) (pow (sqrt -1) 3))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [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) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [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) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ x 1)) (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ x 1)) (sqrt (- x 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (* 1 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1/2 (sqrt -1))) (* 1/2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ (* 1 (/ -1/8 (pow (sqrt -1) 3))) (+ (* 1/2 (/ 1/2 (sqrt -1))) (* -1/8 (sqrt -1)))) into (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3)))))) into (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) into (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (/ 1 (sqrt -1))) (+ (* 1/8 (sqrt -1)) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (- (+ (* 1/4 (/ (pow x 2) (sqrt -1))) (+ (sqrt -1) x)) (+ (* 1/8 (* (sqrt -1) (pow x 2))) (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* 1 (/ 1 (/ 1 x))))) into (- x (+ +nan.0 (- (* +nan.0 (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (* +nan.0 (/ 1 x))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x 1) (- x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (+ 1 x) (+ x -1)) * [exit]simplify: Simplified to (* (+ 1 x) (+ x -1)) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (+ x -1))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (+ x -1))) * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ x 1))) (log (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ -1 x))) (log (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (+ (log (sqrt (+ -1 x))) (log (sqrt (+ 1 x)))) * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sqrt (+ x 1)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (log (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) * [exit]simplify: Simplified to (log (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sqrt (+ x 1)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (exp (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * [exit]simplify: Simplified to (exp (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * [exit]simplify: Simplified to (* (* (+ -1 x) (sqrt (+ 1 x))) (* (sqrt (+ -1 x)) (+ 1 x))) * [exit]simplify: Simplified to (* (* (+ -1 x) (sqrt (+ 1 x))) (* (sqrt (+ -1 x)) (+ 1 x))) * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x))))) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x))))) * [enter]simplify: Simplifying (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) * [exit]simplify: Simplified to (cbrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (387 enodes) * [exit]simplify: Simplified to (* (* (+ 1 x) (sqrt (+ 1 x))) (* (sqrt (- x 1)) (- x 1))) * [exit]simplify: Simplified to (* (* (+ 1 x) (sqrt (+ 1 x))) (* (sqrt (- x 1)) (- x 1))) * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ x 1) (- x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (+ 1 x) (+ x -1)) * [exit]simplify: Simplified to (* (+ 1 x) (+ x -1)) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) * [enter]simplify: Simplifying (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) * [exit]simplify: Simplified to (sqrt (* (sqrt (+ 1 x)) (sqrt (+ -1 x)))) * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow x 3) -1)) (sqrt (+ 1 (pow x 3)))) * [exit]simplify: Simplified to (* (sqrt (+ (pow x 3) -1)) (sqrt (+ 1 (pow x 3)))) * [enter]simplify: Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* x x) (+ 1 x))) (sqrt (- (* x x) (+ x -1)))) * [exit]simplify: Simplified to (* (sqrt (+ (* x x) (+ 1 x))) (sqrt (- (* x x) (+ x -1)))) * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 (* x x))) (sqrt (+ 1 (pow x 3)))) * [exit]simplify: Simplified to (* (sqrt (+ -1 (* x x))) (sqrt (+ 1 (pow x 3)))) * [enter]simplify: Simplifying (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt (+ x 1)) (sqrt (+ (- 1 x) (* x x)))) * [exit]simplify: Simplified to (* (sqrt (+ x 1)) (sqrt (+ (- 1 x) (* x x)))) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (sqrt (+ -1 (pow x 3))) (sqrt (+ -1 (* x x)))) * [exit]simplify: Simplified to (* (sqrt (+ -1 (pow x 3))) (sqrt (+ -1 (* x x)))) * [enter]simplify: Simplifying (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ x 1) (* x x))) (sqrt (- x 1))) * [exit]simplify: Simplified to (* (sqrt (+ (+ x 1) (* x x))) (sqrt (- x 1))) * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ -1 (* x x)) * [exit]simplify: Simplified to (+ -1 (* x x)) * [enter]simplify: Simplifying (* (sqrt (- x 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (+ x -1)) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (* (sqrt (+ x -1)) (sqrt (+ 1 x))) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x))))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (* (cbrt (sqrt (+ -1 x))) (cbrt (sqrt (+ -1 x))))) * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (fabs (cbrt (- x 1)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (fabs (cbrt (- x 1)))) * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (sqrt (+ -1 x)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (sqrt (+ -1 x)))) * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (sqrt (+ -1 x)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (sqrt (+ -1 x)))) * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (sqrt (+ -1 x))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (sqrt (+ -1 x))) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ 1 x))) (sqrt (+ -1 x))) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ 1 x))) (sqrt (+ -1 x))) * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 x))) (sqrt (+ -1 x))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 x))) (sqrt (+ -1 x))) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (+ x -1))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (+ x -1))) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 x))) (sqrt (+ -1 x))) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 x))) (sqrt (+ -1 x))) * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (+ x -1))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (+ x -1))) * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (- (pow x 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (pow x 3) -1)) (sqrt (+ 1 x))) * [exit]simplify: Simplified to (* (sqrt (+ (pow x 3) -1)) (sqrt (+ 1 x))) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (+ -1 (* x x)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (sqrt (+ -1 (* x x)))) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (* (sqrt (+ x -1)) (sqrt (+ 1 (pow x 3)))) * [exit]simplify: Simplified to (* (sqrt (+ x -1)) (sqrt (+ 1 (pow x 3)))) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt (+ -1 x))) * [exit]simplify: Simplified to (* (sqrt (- (* x x) 1)) (sqrt (+ -1 x))) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * [exit]simplify: Simplified to (log (sqrt (+ 1 x))) * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * [exit]simplify: Simplified to (exp (sqrt (+ 1 x))) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * [enter]simplify: Simplifying (cbrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * [exit]simplify: Simplified to (* (sqrt (+ 1 x)) (+ 1 x)) * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (cbrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 x))) * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [exit]simplify: Simplified to (sqrt (+ 1 (pow x 3))) * [enter]simplify: Simplifying (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [exit]simplify: Simplified to (sqrt (- (* x x) 1)) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ -1 x)) * [exit]simplify: Simplified to (sqrt (+ -1 x)) * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [enter]simplify: Simplifying (sqrt (sqrt (+ x 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 x))) * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (log (+ (* (sqrt (+ 1 x)) (sqrt (- x 1))) x)) * [exit]simplify: Simplified to (log (+ (* (sqrt (+ 1 x)) (sqrt (- x 1))) x)) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (exp (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) * [exit]simplify: Simplified to (exp (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ -1 x))) x)) (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ -1 x))) x))) * [exit]simplify: Simplified to (* (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ -1 x))) x)) (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ -1 x))) x))) * [enter]simplify: Simplifying (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (- x 1))) x)) * [exit]simplify: Simplified to (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (- x 1))) x)) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (327 enodes) * [exit]simplify: Simplified to (pow (+ (* (sqrt (+ 1 x)) (sqrt (+ -1 x))) x) 3) * [exit]simplify: Simplified to (pow (+ (* (sqrt (+ 1 x)) (sqrt (+ -1 x))) x) 3) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (- x 1))) x)) * [exit]simplify: Simplified to (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (- x 1))) x)) * [enter]simplify: Simplifying (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (- x 1))) x)) * [exit]simplify: Simplified to (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (- x 1))) x)) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow (* (sqrt (+ x 1)) (sqrt (- x 1))) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (+ (pow x 3) (* (* (+ x 1) (+ -1 x)) (* (sqrt (+ x 1)) (sqrt (+ -1 x))))) * [exit]simplify: Simplified to (+ (pow x 3) (* (* (+ x 1) (+ -1 x)) (* (sqrt (+ x 1)) (sqrt (+ -1 x))))) * [enter]simplify: Simplifying (+ (* x x) (- (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (230 enodes) * [exit]simplify: Simplified to (- (+ (* (+ x 1) (+ -1 x)) (* x x)) (* (* (sqrt (+ x 1)) (sqrt (+ -1 x))) x)) * [exit]simplify: Simplified to (- (+ (* (+ x 1) (+ -1 x)) (* x x)) (* (* (sqrt (+ x 1)) (sqrt (+ -1 x))) x)) * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (+ (* x (- 1 x)) (+ (- 1 x) (* x x))) * [exit]simplify: Simplified to (+ (* x (- 1 x)) (+ (- 1 x) (* x x))) * [enter]simplify: Simplifying (- x (* (sqrt (+ x 1)) (sqrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (- x (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * [exit]simplify: Simplified to (- x (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (- (+ (* 1/16 (* (sqrt -1) (pow x 3))) (+ (* 1/16 (/ (pow x 3) (pow (sqrt -1) 5))) (+ (sqrt -1) (* 1/4 (/ (pow x 2) (sqrt -1)))))) (+ (* 1/16 (/ (pow x 3) (sqrt -1))) (+ (* 1/8 (* (sqrt -1) (pow x 2))) (+ (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/16 (/ (pow x 3) (pow (sqrt -1) 3))))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (log (- (+ (+ (+ (* (* x x) (* (sqrt -1) (* 1/16 x))) (sqrt -1)) (+ (* (/ (* x x) (sqrt -1)) 1/4) (/ (* (* x x) (* 1/16 x)) (pow (sqrt -1) 5)))) (- (* (/ (* 1/16 x) (sqrt -1)) (/ x (/ -1 x))) (+ (* -1/8 (/ (* x x) (sqrt -1))) (* (/ (* 1/16 x) (sqrt -1)) (/ x (/ -1 x)))))) (- (* (* (sqrt -1) (* x x)) 1/8) x))) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))))) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (* (- (+ 1 (* 1/2 x)) (* 1/8 (pow x 2))) (sqrt (- x 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (log (+ (* (* (sqrt (+ -1 x)) (+ 1/2 (* x -1/8))) x) (+ x (sqrt (+ -1 x))))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (sqrt (- x 1))))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ x (* (- (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 2)))))))) (sqrt (- x 1))))) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (+ (* 1/4 (/ (pow x 2) (sqrt -1))) (+ (sqrt -1) x)) (+ (* 1/8 (* (sqrt -1) (pow x 2))) (* 1/8 (/ (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (log (+ (- (* (/ (* x x) (sqrt -1)) 3/8) (* (* 1/8 (* x x)) (sqrt -1))) (+ x (sqrt -1)))) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (+ +nan.0 (- (* +nan.0 (/ 1 x)))))) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- x (+ +nan.0 (- (* +nan.0 (/ 1 x)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# #) * [misc]regimes: Found splitpoints: (#s(sp 0 (log (+ x (sqrt (- (* x x) 1)))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [exit]simplify: Simplified to (sqrt (- x 1)) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6032 additional inputs, on iter 1 have 1968 / 8000 * * * * [misc]points: Computing exacts on every 377 of 6032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 188 of 6032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 94 of 6032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 47 of 6032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 23 of 6032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 11 of 6032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 5 of 6032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 6032 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 6032 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4530 additional inputs, on iter 2 have 3470 / 8000 * * * * [misc]points: Computing exacts on every 283 of 4530 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 141 of 4530 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 70 of 4530 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 35 of 4530 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 17 of 4530 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 8 of 4530 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 4 of 4530 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 4530 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 4530 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3448 additional inputs, on iter 3 have 4552 / 8000 * * * * [misc]points: Computing exacts on every 215 of 3448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 107 of 3448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 53 of 3448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 26 of 3448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 13 of 3448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 6 of 3448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 3448 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 3448 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2582 additional inputs, on iter 4 have 5418 / 8000 * * * * [misc]points: Computing exacts on every 161 of 2582 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 80 of 2582 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 40 of 2582 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 20 of 2582 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 10 of 2582 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 5 of 2582 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 2582 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 2582 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1935 additional inputs, on iter 5 have 6065 / 8000 * * * * [misc]points: Computing exacts on every 120 of 1935 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 60 of 1935 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 30 of 1935 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 15 of 1935 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 7 of 1935 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 1935 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 1935 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1462 additional inputs, on iter 6 have 6538 / 8000 * * * * [misc]points: Computing exacts on every 91 of 1462 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 45 of 1462 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 22 of 1462 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 11 of 1462 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 5 of 1462 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 1462 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 1462 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1128 additional inputs, on iter 7 have 6872 / 8000 * * * * [misc]points: Computing exacts on every 70 of 1128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 35 of 1128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 17 of 1128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 8 of 1128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 4 of 1128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 1128 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 1128 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 858 additional inputs, on iter 8 have 7142 / 8000 * * * * [misc]points: Computing exacts on every 53 of 858 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 26 of 858 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 13 of 858 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 6 of 858 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 858 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 858 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 644 additional inputs, on iter 9 have 7356 / 8000 * * * * [misc]points: Computing exacts on every 40 of 644 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 20 of 644 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 10 of 644 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 5 of 644 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 644 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 644 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 495 additional inputs, on iter 10 have 7505 / 8000 * * * * [misc]points: Computing exacts on every 30 of 495 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 15 of 495 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 7 of 495 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 495 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 495 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 368 additional inputs, on iter 11 have 7632 / 8000 * * * * [misc]points: Computing exacts on every 23 of 368 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 11 of 368 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 5 of 368 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 368 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 368 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 275 additional inputs, on iter 12 have 7725 / 8000 * * * * [misc]points: Computing exacts on every 17 of 275 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 8 of 275 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 4 of 275 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 275 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 275 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 209 additional inputs, on iter 13 have 7791 / 8000 * * * * [misc]points: Computing exacts on every 13 of 209 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 6 of 209 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 209 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 209 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 157 additional inputs, on iter 14 have 7843 / 8000 * * * * [misc]points: Computing exacts on every 9 of 157 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 4 of 157 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 157 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 157 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 119 additional inputs, on iter 15 have 7881 / 8000 * * * * [misc]points: Computing exacts on every 7 of 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 3 of 119 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 119 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 94 additional inputs, on iter 16 have 7906 / 8000 * * * * [misc]points: Computing exacts on every 5 of 94 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 94 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 94 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 65 additional inputs, on iter 17 have 7935 / 8000 * * * * [misc]points: Computing exacts on every 4 of 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts on every 2 of 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 65 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 46 additional inputs, on iter 18 have 7954 / 8000 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 46 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 36 additional inputs, on iter 19 have 7964 / 8000 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Computing exacts for 36 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 26 additional inputs, on iter 20 have 7974 / 8000 * * * * [misc]points: Computing exacts for 26 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 18 additional inputs, on iter 21 have 7982 / 8000 * * * * [misc]points: Computing exacts for 18 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 22 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 23 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 7997 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 26 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 27 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 28 have 7999 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 2112 * * * * [misc]points: Setting MPFR precision to 2368 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs