* [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: 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: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [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 (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (log (- 1 x)) (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 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (log (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in 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 (- 0) into 0 * [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 (- 1) into -1 * [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) 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 (- 0) into 0 * [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 (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in 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 (- 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 (log (- 1 (/ 1 x))) in 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 (- 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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) 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) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in 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 (- -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 (log (- 1 (/ 1 (- x)))) in 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 (- -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 (- 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 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) 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 (- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 4 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 5 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (+ (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (log (cbrt (- 1 x)))) (log1p x))) * * * * [misc]progress: [ 6 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (+ (log (sqrt (- 1 x))) (log (sqrt (- 1 x)))) (log1p x))) * * * * [misc]progress: [ 7 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (+ (log 1) (log (- 1 x))) (log1p x))) * * * * [misc]progress: [ 8 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (log (fma (* x x) (- x) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (- (log (fma (* x x) (- x) 1)) (log (+ (* 1 1) (+ (* x x) (* 1 x))))) (log1p x))) * * * * [misc]progress: [ 9 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (log (- 1 (* x x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (- (log (- 1 (* x x))) (log (+ 1 x))) (log1p x))) * * * * [misc]progress: [ 10 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (log (- 1 x)) (log1p x))) * * * * [misc]progress: [ 13 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 21 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (fma (* x (- x)) (fma x 1/3 1/2) (- x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 20 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (- (+ (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (+ (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) (log1p x))) * * * * [misc]progress: [ 21 / 21 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (- (- (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) (log1p 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 / 1 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2 1) * [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]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 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]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 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [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) 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 (- 0) into 0 * [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 (- (+ x (+ (* 1/3 (pow x 3)) (* 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 (/ 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 (- 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 (/ 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 (- 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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) 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) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * [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 (/ 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 (- -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 (/ 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 (- -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 (- 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 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) 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 (- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (log1p (- x)) (log1p x))) * * * * [misc]progress: [ 5 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 14 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (fma (* x (- x)) (fma x 1/3 1/2) (- x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 13 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (log (/ 1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (- (+ (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (+ (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) (log1p x))) * * * * [misc]progress: [ 14 / 14 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (- (- (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- (log x) (log -1)) (fma (/ 1 x) (/ 1/2 x) (/ 1 x))) (log1p x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 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) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (fma x 1/3 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma x 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma x 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 0 1/3) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/3)) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/3))) 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 1/3)))) 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 1/3))))) 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 1/3)))))) 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 1/3))))))) 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 1/3)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 x) 1/2) into (+ (* 1/3 x) 1/2) * [misc]approximate: Taking taylor expansion of (fma (/ 1 x) 1/3 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma (/ 1 x) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/3)) into 0 * [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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))) 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))) 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))) 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) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* 1/3 (/ 1 (/ 1 x)))) into (+ (* 1/3 x) 1/2) * [misc]approximate: Taking taylor expansion of (fma (/ 1 (- x)) 1/3 1/2) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (fma (/ 1 (- x)) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* -1 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 1/3)) into 0 * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/3))) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3))))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1/3)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1/2 (* -1/3 (/ 1 (/ 1 (- x))))) into (+ (* 1/3 x) 1/2) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (fma (* x (- x)) (fma x 1/3 1/2) (- x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (* x (- x)) (fma x 1/3 1/2) (- x)) in x * [misc]taylor: Rewrote expression to (+ (* (* x (- x)) (fma x 1/3 1/2)) (- x)) * [misc]taylor: Taking taylor expansion of (* (* x (- x)) (fma x 1/3 1/2)) 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]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 (fma x 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]taylor: Taking taylor expansion of (fma (* x (- x)) (fma x 1/3 1/2) (- x)) in x * [misc]taylor: Rewrote expression to (+ (* (* x (- x)) (fma x 1/3 1/2)) (- x)) * [misc]taylor: Taking taylor expansion of (* (* x (- x)) (fma x 1/3 1/2)) 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]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 (fma x 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/3) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) 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 1/3)) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 -1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/3) (* 0 1/2)) 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 0) (+ (* 1 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 0 0) (+ (* 1 -1) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/3) (* -1 1/2))) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/3)))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* -1 1/3) (* 0 1/2)))) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) 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 (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (fma (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2) (- (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2) (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2)) (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2)) 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 (/ 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 (fma (/ 1 x) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 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 (fma (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2) (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2)) (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2)) 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 (/ 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 (fma (/ 1 x) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* -1 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (+ (* 1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 1/3))) 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 (/ 1 (/ 1 x))) (+ (* -1/2 (pow (/ 1 (/ 1 x)) 2)) (* -1/3 (pow (/ 1 (/ 1 x)) 3)))) into (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (fma (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2) (- (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2) (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2)) (- (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2)) 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 (/ 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 (fma (/ 1 (- x)) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 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 (fma (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2) (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2)) (- (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2)) 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 (/ 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 (fma (/ 1 (- x)) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (* -1 -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [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 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [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 (- 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 (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/3))) 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 (/ 1 (/ 1 (- x)))) (+ (* -1/2 (pow (/ 1 (/ 1 (- x))) 2)) (* 1/3 (pow (/ 1 (/ 1 (- x))) 3)))) into (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (fma (* x (- x)) (fma x 1/3 1/2) (- x)) in x * [misc]taylor: Rewrote expression to (+ (* (* x (- x)) (fma x 1/3 1/2)) (- x)) * [misc]taylor: Taking taylor expansion of (* (* x (- x)) (fma x 1/3 1/2)) 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]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 (fma x 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]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 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/3) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/3)) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 -1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/3) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [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 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (fma (* x (- x)) (fma x 1/3 1/2) (- x)) in x * [misc]taylor: Rewrote expression to (+ (* (* x (- x)) (fma x 1/3 1/2)) (- x)) * [misc]taylor: Taking taylor expansion of (* (* x (- x)) (fma x 1/3 1/2)) 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]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 (fma x 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* x 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* x 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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]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 0) into 0 * [misc]backup-simplify: Simplify (* 0 1/3) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 1/2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 1/3)) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 -1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1/3) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [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 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 0 0) (+ (* 1 -1) (* 0 0))) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 1/3) (* -1 1/2))) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [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 1) (+ (* -1 (/ -1/2 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 1/3)))) 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 -1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* -1 1/3) (* 0 1/2)))) into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [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 1) (+ (* -1 (/ 1/3 1)) (* -1 (/ -1/2 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (* 1/2 (pow x 2)) 1))) * [misc]approximate: Taking taylor expansion of (/ (fma (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2) (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2) (- (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2) (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2)) (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2)) 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 (/ 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 (fma (/ 1 x) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 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 (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) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* -1 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ -1/3 (- (log x))) into (/ 1/3 (log x)) * [misc]taylor: Taking taylor expansion of (/ (fma (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2) (- (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2) (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2)) (- (/ 1 x))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (- (/ 1 x))) (fma (/ 1 x) 1/3 1/2)) 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 (/ 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 (fma (/ 1 x) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 x) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 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 (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) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (* 1 1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (* -1 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (/ -1/3 (- (log x))) into (/ 1/3 (log x)) * [misc]backup-simplify: Simplify (/ 1/3 (log x)) into (/ 1/3 (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (+ (* 1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) 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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1/2 (- (log x))) (+ (* (/ 1/3 (log x)) (/ 1 (- (log x)))))) into (+ (* 1/2 (/ 1 (log x))) (* 1/3 (/ 1 (pow (log x) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 (log x))) (* 1/3 (/ 1 (pow (log x) 2)))) into (+ (* 1/2 (/ 1 (log x))) (* 1/3 (/ 1 (pow (log x) 2)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ -1 (- (log x))) (+ (* (/ 1/3 (log x)) (/ -1/2 (- (log x)))) (* (+ (* 1/2 (/ 1 (log x))) (* 1/3 (/ 1 (pow (log x) 2)))) (/ 1 (- (log x)))))) into (+ (/ 1 (log x)) (+ (* 1/3 (/ 1 (pow (log x) 3))) (* 1/3 (/ 1 (pow (log x) 2))))) * [misc]backup-simplify: Simplify (+ (/ 1 (log x)) (+ (* 1/3 (/ 1 (pow (log x) 3))) (* 1/3 (/ 1 (pow (log x) 2))))) into (+ (/ 1 (log x)) (+ (* 1/3 (/ 1 (pow (log x) 3))) (* 1/3 (/ 1 (pow (log x) 2))))) * [misc]backup-simplify: Simplify (+ (* (+ (/ 1 (log (/ 1 x))) (+ (* 1/3 (/ 1 (pow (log (/ 1 x)) 3))) (* 1/3 (/ 1 (pow (log (/ 1 x)) 2))))) (/ 1 (/ 1 x))) (+ (* (+ (* 1/2 (/ 1 (log (/ 1 x)))) (* 1/3 (/ 1 (pow (log (/ 1 x)) 2)))) (pow (/ 1 (/ 1 x)) 2)) (* (/ 1/3 (log (/ 1 x))) (pow (/ 1 (/ 1 x)) 3)))) into (+ (/ x (log (/ 1 x))) (+ (* 1/2 (/ (pow x 2) (log (/ 1 x)))) (+ (* 1/3 (/ x (pow (log (/ 1 x)) 3))) (+ (* 1/3 (/ (pow x 3) (log (/ 1 x)))) (+ (* 1/3 (/ (pow x 2) (pow (log (/ 1 x)) 2))) (* 1/3 (/ x (pow (log (/ 1 x)) 2)))))))) * [misc]approximate: Taking taylor expansion of (/ (fma (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2) (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2) (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2) (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2)) (- (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2)) 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 (/ 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 (fma (/ 1 (- x)) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 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 (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) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (* -1 -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ 1/3 (- (log -1) (log x))) into (/ 1/3 (- (log -1) (log x))) * [misc]taylor: Taking taylor expansion of (/ (fma (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2) (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (fma (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2) (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (+ (* (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2)) (- (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (- (/ 1 (- x)))) (fma (/ 1 (- x)) 1/3 1/2)) 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 (/ 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 (fma (/ 1 (- x)) 1/3 1/2) in x * [misc]taylor: Rewrote expression to (+ (* (/ 1 (- x)) 1/3) 1/2) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) 1/3) 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 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of 1/2 in x * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 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 (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) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (* -1 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 0) into -1/3 * [misc]backup-simplify: Simplify (* -1 -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (/ 1/3 (- (log -1) (log x))) into (/ 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (/ 1/3 (- (log -1) (log x))) into (/ 1/3 (- (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) (* 0 1/3)) into 0 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [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 (- 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 (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 1/2) (* 0 -1/3)) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) 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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (/ -1/2 (- (log -1) (log x))) (+ (* (/ 1/3 (- (log -1) (log x))) (/ -1 (- (log -1) (log x)))))) into (- (* 1/3 (/ 1 (pow (- (log -1) (log x)) 2))) (* 1/2 (/ 1 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (* 1/3 (/ 1 (pow (- (log -1) (log x)) 2))) (* 1/2 (/ 1 (- (log -1) (log x))))) into (- (* 1/3 (/ 1 (pow (- (log -1) (log x)) 2))) (* 1/2 (/ 1 (- (log -1) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1/3))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 1/2) (* 0 -1/3))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log 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 (/ 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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (/ 1 (- (log -1) (log x))) (+ (* (/ 1/3 (- (log -1) (log x))) (/ -1/2 (- (log -1) (log x)))) (* (- (* 1/3 (/ 1 (pow (- (log -1) (log x)) 2))) (* 1/2 (/ 1 (- (log -1) (log x))))) (/ -1 (- (log -1) (log x)))))) into (- (+ (/ 1 (- (log -1) (log x))) (* 1/3 (/ 1 (pow (- (log -1) (log x)) 3)))) (* 1/3 (/ 1 (pow (- (log -1) (log x)) 2)))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (- (log -1) (log x))) (* 1/3 (/ 1 (pow (- (log -1) (log x)) 3)))) (* 1/3 (/ 1 (pow (- (log -1) (log x)) 2)))) into (- (+ (/ 1 (- (log -1) (log x))) (* 1/3 (/ 1 (pow (- (log -1) (log x)) 3)))) (* 1/3 (/ 1 (pow (- (log -1) (log x)) 2)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ 1 (- (log -1) (log (/ 1 (- x))))) (* 1/3 (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 3)))) (* 1/3 (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2)))) (/ 1 (/ 1 (- x)))) (+ (* (- (* 1/3 (/ 1 (pow (- (log -1) (log (/ 1 (- x)))) 2))) (* 1/2 (/ 1 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (/ 1 (- x))) 2)) (* (/ 1/3 (- (log -1) (log (/ 1 (- x))))) (pow (/ 1 (/ 1 (- x))) 3)))) into (- (+ (* 1/3 (/ (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (* 1/3 (/ x (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ x (- (log -1) (log (/ -1 x)))) (+ (* 1/3 (/ x (pow (- (log -1) (log (/ -1 x))) 3))) (+ (* 1/2 (/ (pow x 2) (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (pow x 3) (- (log -1) (log (/ -1 x))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (log (log1p x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (- (log (fma (* (fma 1/3 x 1/2) x) (- x) (- x))) (log (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (fma (* (fma 1/3 x 1/2) x) (- x) (- x))) (log (log1p x))))) * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (* (* (log1p x) (log1p x)) (log1p x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (* (- (/ (fma (* x x) (fma 1/3 x 1/2) x) (log1p x))) (/ (* (fma (* x x) (fma 1/3 x 1/2) x) (fma (* x x) (fma 1/3 x 1/2) x)) (* (log1p x) (log1p x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (- (/ (fma (* x x) (fma 1/3 x 1/2) x) (log1p x))) (/ (* (fma (* x x) (fma 1/3 x 1/2) x) (fma (* x x) (fma 1/3 x 1/2) x)) (* (log1p x) (log1p x)))))) * * * * [misc]progress: [ 28 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x)))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (cbrt (log1p x))) (/ (cbrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (cbrt (log1p x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (cbrt (log1p x))) (/ (cbrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (cbrt (log1p x)))) (/ (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (log1p x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (cbrt (log1p x))) (/ (cbrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (cbrt (log1p x)))) (/ (cbrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (cbrt (log1p x))))) * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x)))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))) (/ (sqrt (log1p x)) (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))) (/ (sqrt (log1p x)) (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))))) (/ (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x)))) (sqrt (log1p x))) (/ (cbrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (sqrt (log1p x))))) * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))) (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))) (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x)))) (/ (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (log1p x)))) * [enter]simplify: Simplifying (/ (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (log1p x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))) (cbrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x)))) (/ (cbrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (log1p x)))) * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (fma (- x) (* (fma 1/3 x 1/2) x) (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (log1p x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (sqrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (cbrt (log1p x))))) * * * * [misc]progress: [ 36 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (sqrt (log1p x))) (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (sqrt (log1p x))) (/ (sqrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (sqrt (log1p x))))) * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (sqrt (fma (* (fma 1/3 x 1/2) x) (- x) (- x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (fma (* (fma 1/3 x 1/2) x) (- x) (- x))) (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (log1p x)))) * [enter]simplify: Simplifying (/ (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (log1p x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (fma (* (fma 1/3 x 1/2) x) (- x) (- x))) (/ (sqrt (- (fma (fma 1/3 x 1/2) (* x x) x))) (log1p x)))) * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (log1p x))) (cbrt (log1p x))) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (cbrt (log1p x))))) * [enter]simplify: Simplifying (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (cbrt (log1p x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (- (fma (fma 1/3 x 1/2) (* x x) x)) (cbrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (log1p x)) (cbrt (log1p x)))) (/ (- (fma (fma 1/3 x 1/2) (* x x) x)) (cbrt (log1p x))))) * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (log1p x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (log1p x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (log1p x))) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (sqrt (log1p x))))) * [enter]simplify: Simplifying (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (- (fma (fma 1/3 x 1/2) (* x x) x)) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (log1p x))) (/ (- (fma (fma 1/3 x 1/2) (* x x) x)) (sqrt (log1p x))))) * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x)))) * [enter]simplify: Simplifying (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (- (/ (fma (* x x) (fma 1/3 x 1/2) x) (log1p x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ (fma (* x x) (fma 1/3 x 1/2) x) (log1p x))))) * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (* (cbrt (log1p x)) (cbrt (log1p x)))) (cbrt (log1p x)))) * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log1p x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (sqrt (log1p x))) (sqrt (log1p x)))) * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log1p x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) 1) (log1p x))) * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (cbrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x))) (cbrt (fma (* (fma 1/3 x 1/2) (- x)) x (- x)))) (/ (log1p x) (cbrt (fma (* x (- x)) (fma x 1/3 1/2) (- x)))))) * * * * [misc]progress: [ 48 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (sqrt (fma (* (fma 1/3 x 1/2) x) (- x) (- x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (fma (* (fma 1/3 x 1/2) x) (- x) (- x))) (/ (log1p x) (sqrt (fma (* x (- x)) (fma x 1/3 1/2) (- x)))))) * * * * [misc]progress: [ 49 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (fma x 1/3 1/2) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 51 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (fma x 1/3 1/2) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 52 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/3 x) 1/2) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (fma x 1/3 1/2) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (fma (* x (- x)) (fma x 1/3 1/2) (- x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 54 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (fma (* x (- x)) (fma x 1/3 1/2) (- x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 55 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (fma (* x (- x)) (fma x 1/3 1/2) (- x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fma (* x (- x)) (fma x 1/3 1/2) (- x)) (log1p x))) * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/2 (pow x 2)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (fma (fma x 1/2 1) (- x) (- 1)) * [misc]simplify: Simplified (2) to (λ (x) (fma (fma x 1/2 1) (- x) (- 1))) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ x (log (/ 1 x))) (+ (* 1/2 (/ (pow x 2) (log (/ 1 x)))) (+ (* 1/3 (/ x (pow (log (/ 1 x)) 3))) (+ (* 1/3 (/ (pow x 3) (log (/ 1 x)))) (+ (* 1/3 (/ (pow x 2) (pow (log (/ 1 x)) 2))) (* 1/3 (/ x (pow (log (/ 1 x)) 2)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (+ (fma (+ (/ x (* (log x) (log x))) (* (/ x (log x)) (/ x (log x)))) 1/3 (fma (/ 1/3 (* (log x) (log x))) (/ x (- (log x))) (/ (* (* x 1/3) (* x x)) (- (log x))))) (fma 1/2 (/ (* x x) (- (log x))) (/ x (- (log x))))) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma (+ (/ x (* (log x) (log x))) (* (/ x (log x)) (/ x (log x)))) 1/3 (fma (/ 1/3 (* (log x) (log x))) (/ x (- (log x))) (/ (* (* x 1/3) (* x x)) (- (log x))))) (fma 1/2 (/ (* x x) (- (log x))) (/ x (- (log x)))))) * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))) (* 1/3 (/ x (pow (- (log -1) (log (/ -1 x))) 2)))) (+ (/ x (- (log -1) (log (/ -1 x)))) (+ (* 1/3 (/ x (pow (- (log -1) (log (/ -1 x))) 3))) (+ (* 1/2 (/ (pow x 2) (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (pow x 3) (- (log -1) (log (/ -1 x))))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (- (fma (* (/ x (+ 0 (log x))) (/ x (+ 0 (log x)))) 1/3 (fma (/ 1/3 (+ 0 (log x))) (/ x (+ 0 (log x))) (/ (- x) (+ 0 (log x))))) (+ (/ (/ (* 1/3 x) (+ 0 (log x))) (* (+ 0 (log x)) (+ 0 (log x)))) (fma 1/2 (/ (* x x) (+ 0 (log x))) (/ (* (* x x) (* 1/3 x)) (+ 0 (log x)))))) * [misc]simplify: Simplified (2) to (λ (x) (- (fma (* (/ x (+ 0 (log x))) (/ x (+ 0 (log x)))) 1/3 (fma (/ 1/3 (+ 0 (log x))) (/ x (+ 0 (log x))) (/ (- x) (+ 0 (log x))))) (+ (/ (/ (* 1/3 x) (+ 0 (log x))) (* (+ 0 (log x)) (+ 0 (log x)))) (fma 1/2 (/ (* x x) (+ 0 (log x))) (/ (* (* x x) (* 1/3 x)) (+ 0 (log x))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * [misc]progress: generating series expansions * * * [misc]progress: simplifying candidates * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# # # #) * * * [misc]regime: Found split indices: #