* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, have 0 / 256 * * * * [misc]points: Computing 256 additional correct outputs * * * * [misc]points: Precision set to 2 * * * * [misc]points: Precision set to 128 * * * * [misc]points: Precision set to 384 * * * * [misc]points: Precision set to 640 * * * * [misc]points: Precision set to 384 * * * * [misc]points: Precision set to 640 * * * * [misc]points: Precision set to 896 * * * * [misc]points: Precision set to 640 * * * * [misc]points: Precision set to 896 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 66 additional inputs, have 190 / 256 * * * * [misc]points: Computing 66 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, have 243 / 256 * * * * [misc]points: Computing 13 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 2 additional inputs, have 254 / 256 * * * * [misc]points: Computing 2 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (log (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p 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 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log1p x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [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 (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [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) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [exit]simplify: Simplified to (+ x 1) * * * * [misc]progress: [ 2 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to x * [exit]simplify: Simplified to x * * * * [misc]progress: [ 3 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (log1p x)) * [exit]simplify: Simplified to (log1p (log1p x)) * * * * [misc]progress: [ 4 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log1p x)) * [exit]simplify: Simplified to (log (log1p x)) * * * * [misc]progress: [ 6 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (log1p x)) * [exit]simplify: Simplified to (exp (log1p x)) * * * * [misc]progress: [ 7 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [exit]simplify: Simplified to (* (cbrt (log1p x)) (cbrt (log1p x))) * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [exit]simplify: Simplified to (cbrt (log1p x)) * * * * [misc]progress: [ 8 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p x) (log1p x)) (log1p x)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (log1p x) 3) * [exit]simplify: Simplified to (pow (log1p x) 3) * * * * [misc]progress: [ 9 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [exit]simplify: Simplified to (sqrt (log1p x)) * * * * [misc]progress: [ 10 / 13 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (pow x 3)) x) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (fma (- (* x 1/3) 1/2) (* x x) x) * * * * [misc]progress: [ 12 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (- (+ (log x) (/ 1 x)) (/ (/ 1/2 x) x)) * * * * [misc]progress: [ 13 / 13 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log -1) (/ 1 x)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (- (+ (/ 1 x) (log x)) (/ 1/2 (* x x))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * * * [misc]points: Sampling 8000 additional inputs, have 0 / 8000 * * * * [misc]points: Computing 8000 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1911 additional inputs, have 6089 / 8000 * * * * [misc]points: Computing 1911 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 444 additional inputs, have 7556 / 8000 * * * * [misc]points: Computing 444 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 106 additional inputs, have 7894 / 8000 * * * * [misc]points: Computing 106 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 28 additional inputs, have 7972 / 8000 * * * * [misc]points: Computing 28 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, have 7992 / 8000 * * * * [misc]points: Computing 8 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1 additional inputs, have 7999 / 8000 * * * * [misc]points: Computing 1 additional correct outputs * * * * [misc]points: Precision set to 1152 * * * * [misc]points: Precision set to 1408 * * * * [misc]points: Filtering points with unrepresentable outputs