* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 189 additional inputs, on iter 1 have 67 / 256 * * * * [misc]points: Computing exacts on every 11 of 189 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 5 of 189 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 189 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 189 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 146 additional inputs, on iter 2 have 110 / 256 * * * * [misc]points: Computing exacts on every 9 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 146 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 146 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 107 additional inputs, on iter 3 have 149 / 256 * * * * [misc]points: Computing exacts on every 6 of 107 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 107 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 107 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 77 additional inputs, on iter 4 have 179 / 256 * * * * [misc]points: Computing exacts on every 4 of 77 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 77 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 77 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 56 additional inputs, on iter 5 have 200 / 256 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 56 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 43 additional inputs, on iter 6 have 213 / 256 * * * * [misc]points: Computing exacts on every 2 of 43 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 43 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 31 additional inputs, on iter 7 have 225 / 256 * * * * [misc]points: Computing exacts for 31 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 21 additional inputs, on iter 8 have 235 / 256 * * * * [misc]points: Computing exacts for 21 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 9 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 10 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 11 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 12 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [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) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- (log (- (/ 1 x) 1))) * * [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) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) 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 (- (+ (* 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 x 2)) (+ (* -1 x) (- (log x)))) into (- (+ x (+ (* 1/2 (pow x 2)) (log x)))) * [misc]approximate: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (log -1) into (log -1) * [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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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))) into (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (log -1) into (log -1) * [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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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))) into (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (+ (log (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))) (log (cbrt (- (/ 1 x) 1)))))) * * * * [misc]progress: [ 4 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (/ 1 x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (sqrt (- (/ 1 x) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (+ (log (sqrt (- (/ 1 x) 1))) (log (sqrt (- (/ 1 x) 1)))))) * * * * [misc]progress: [ 5 / 20 ] 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) 1))))) * * * * [misc]progress: [ 6 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (+ (log1p (sqrt (/ 1 x))) (log (- (sqrt (/ 1 x)) 1))))) * * * * [misc]progress: [ 7 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow (/ 1 x) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (log (- (/ (/ 1 x) (* x x)) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (- (log (- (/ (/ 1 x) (* x x)) 1)) (log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1))))))) * * * * [misc]progress: [ 8 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (/ 1 x) (/ 1 x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (log (fma (/ 1 x) (/ 1 x) (- 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (- (log (fma (/ 1 x) (/ 1 x) (- 1))) (log (+ (/ 1 x) 1))))) * * * * [misc]progress: [ 9 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (log (- (/ 1 x) 1)))) * * * * [misc]progress: [ 12 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 20 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/2 (pow x 2)) (log x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (- (fma (fma 1/2 x 1) x (log x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (- (fma (fma 1/2 x 1) x (log x))))) * * * * [misc]progress: [ 19 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))))) * * * * [misc]progress: [ 20 / 20 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 x) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log (- (/ 1 x) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 x) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ 1 (- (log x))) into (- 1 (log x)) * [misc]backup-simplify: Simplify (log (- 1 (log x))) into (log (- 1 (log x))) * [misc]backup-simplify: Simplify (exp (log (- 1 (log x)))) into (- 1 (log x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 x) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log (- (/ 1 x) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log (- (/ 1 x) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 x) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ 1 (- (log x))) into (- 1 (log x)) * [misc]backup-simplify: Simplify (log (- 1 (log x))) into (log (- 1 (log x))) * [misc]backup-simplify: Simplify (exp (log (- 1 (log x)))) into (- 1 (log x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- 1 (log x)) -1) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- 1 (log x)) 1)))) 1) into (/ -1 (- 1 (log x))) * [misc]backup-simplify: Simplify (* (exp (log (- 1 (log x)))) (+ (* (/ (pow (/ -1 (- 1 (log x))) 1) 1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- 1 (log x)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- 1 (log x)) 1)))) 2) into (* -1/2 (+ (/ 1 (- 1 (log x))) (/ 1 (pow (- 1 (log x)) 2)))) * [misc]backup-simplify: Simplify (* (exp (log (- 1 (log x)))) (+ (* (/ (pow (/ -1 (- 1 (log x))) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (- 1 (log x))) (/ 1 (pow (- 1 (log x)) 2)))) 1) 1)))) 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 (+ (* -1/2 (pow x 2)) (+ (* -1 x) (- (log x)))) into (- (+ x (+ (* 1/2 (pow x 2)) (log x)))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 (/ 1 x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 (/ 1 x)) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log (- (/ 1 (/ 1 x)) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log (- (/ 1 (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 (/ 1 x)) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 1 (log -1)) into (+ (log -1) 1) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log -1) 1))) into (+ (log -1) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 (/ 1 x)) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log (- (/ 1 (/ 1 x)) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log (- (/ 1 (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 (/ 1 x)) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 1 (log -1)) into (+ (log -1) 1) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log -1) 1))) into (+ (log -1) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (log -1) 1) -1) into (log -1) * [misc]backup-simplify: Simplify (log -1) into (log -1) * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (+ (log -1) 1) 1)))) 1) into (/ -1 (+ (log -1) 1)) * [misc]backup-simplify: Simplify (* (exp (log (+ (log -1) 1))) (+ (* (/ (pow (/ -1 (+ (log -1) 1)) 1) 1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (+ (log -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (+ (log -1) 1) 1)))) 2) into (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log -1) 1))) (+ (* (/ (pow (/ -1 (+ (log -1) 1)) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) 1) 1)))) 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 (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) (log -1))) into (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 (/ 1 (- x))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 (/ 1 (- x))) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log (- (/ 1 (/ 1 (- x))) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log (- (/ 1 (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 (/ 1 (- x))) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 1 (log -1)) into (+ (log -1) 1) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log -1) 1))) into (+ (log -1) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (log (- (/ 1 (/ 1 (- x))) 1)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (log (- (/ 1 (/ 1 (- x))) 1)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (log (- (/ 1 (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 (/ 1 (- x))) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 1 (log -1)) into (+ (log -1) 1) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (log -1) 1))) into (+ (log -1) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (+ (log -1) 1) -1) into (log -1) * [misc]backup-simplify: Simplify (log -1) into (log -1) * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (log -1) 1) 1)))) 1) into (/ 1 (+ (log -1) 1)) * [misc]backup-simplify: Simplify (* (exp (log (+ (log -1) 1))) (+ (* (/ (pow (/ 1 (+ (log -1) 1)) 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (log -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (+ (log -1) 1) 1)))) 2) into (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) * [misc]backup-simplify: Simplify (* (exp (log (+ (log -1) 1))) (+ (* (/ (pow (/ 1 (+ (log -1) 1)) 2) 2)) (* (/ (pow (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) 1) 1)))) 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 (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) (log -1))) into (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (log1p (log (- (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 x) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ 1 (- (log x))) into (- 1 (log x)) * [misc]backup-simplify: Simplify (log (- 1 (log x))) into (log (- 1 (log x))) * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 x) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ 1 (- (log x))) into (- 1 (log x)) * [misc]backup-simplify: Simplify (log (- 1 (log x))) 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 (- 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- 1 (log x)) 1)))) 1) into (/ -1 (- 1 (log x))) * [misc]backup-simplify: Simplify (/ -1 (- 1 (log x))) into (/ -1 (- 1 (log x))) * [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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- 1 (log x)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- 1 (log x)) 1)))) 2) into (* -1/2 (+ (/ 1 (- 1 (log x))) (/ 1 (pow (- 1 (log x)) 2)))) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 (- 1 (log x))) (/ 1 (pow (- 1 (log x)) 2)))) into (* -1/2 (+ (/ 1 (- 1 (log x))) (/ 1 (pow (- 1 (log x)) 2)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ (/ 1 (- 1 (log x))) (/ 1 (pow (- 1 (log x)) 2)))) (pow x 2)) (+ (* (/ -1 (- 1 (log x))) x) (log (- 1 (log x))))) into (- (log (- 1 (log x))) (+ (* 1/2 (/ (pow x 2) (- 1 (log x)))) (+ (* 1/2 (/ (pow x 2) (pow (- 1 (log x)) 2))) (/ x (- 1 (log x)))))) * [misc]approximate: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 (/ 1 x)) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 1 (log -1)) into (+ (log -1) 1) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 (/ 1 x)) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 1 (log -1)) into (+ (log -1) 1) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (+ (log -1) 1) 1)))) 1) into (/ -1 (+ (log -1) 1)) * [misc]backup-simplify: Simplify (/ -1 (+ (log -1) 1)) into (/ -1 (+ (log -1) 1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (+ (log -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (+ (log -1) 1) 1)))) 2) into (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) into (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) (pow (/ 1 x) 2)) (+ (* (/ -1 (+ (log -1) 1)) (/ 1 x)) (log (+ (log -1) 1)))) into (- (log (+ (log -1) 1)) (+ (/ 1 (* x (+ (log -1) 1))) (+ (* 1/2 (/ 1 (* (pow x 2) (+ (log -1) 1)))) (* 1/2 (/ 1 (* (pow x 2) (pow (+ (log -1) 1) 2))))))) * [misc]approximate: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 (/ 1 (- x))) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 1 (log -1)) into (+ (log -1) 1) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [misc]taylor: Taking taylor expansion of (log1p (log (- (/ 1 (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (log (- (/ 1 (/ 1 (- x))) 1)))) * [misc]taylor: Taking taylor expansion of (+ 1 (log (- (/ 1 (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ 1 (log -1)) into (+ (log -1) 1) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [misc]backup-simplify: Simplify (log (+ (log -1) 1)) into (log (+ (log -1) 1)) * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (log -1) 1) 1)))) 1) into (/ 1 (+ (log -1) 1)) * [misc]backup-simplify: Simplify (/ 1 (+ (log -1) 1)) into (/ 1 (+ (log -1) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (+ (log -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (+ (log -1) 1) 1)))) 2) into (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) into (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ (/ 1 (+ (log -1) 1)) (/ 1 (pow (+ (log -1) 1) 2)))) (pow (/ 1 (- x)) 2)) (+ (* (/ 1 (+ (log -1) 1)) (/ 1 (- x))) (log (+ (log -1) 1)))) into (- (log (+ (log -1) 1)) (+ (/ 1 (* x (+ (log -1) 1))) (+ (* 1/2 (/ 1 (* (pow x 2) (+ (log -1) 1)))) (* 1/2 (/ 1 (* (pow x 2) (pow (+ (log -1) 1) 2))))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (log (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) 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 (- (+ (* 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 x 2)) (+ (* -1 x) (- (log x)))) into (- (+ x (+ (* 1/2 (pow x 2)) (log x)))) * [misc]approximate: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (log -1) into (log -1) * [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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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))) into (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (- (/ 1 (/ 1 (- x))) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- x))) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (log -1) into (log -1) * [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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 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))) into (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (log (- (/ 1 x) 1)))) * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (log (- (/ 1 x) 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (- (expm1 (log1p (log (- (/ 1 x) 1)))))) * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (log (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (- (expm1 (log1p (+ (log (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))) (log (cbrt (- (/ 1 x) 1)))))))) * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- (/ 1 x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log (sqrt (- (/ 1 x) 1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (- (expm1 (log1p (+ (log (sqrt (- (/ 1 x) 1))) (log (sqrt (- (/ 1 x) 1)))))))) * * * * [misc]progress: [ 27 / 48 ] 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 1 1) to (λ (x) (- (expm1 (log1p (+ (log 1) (log (- (/ 1 x) 1))))))) * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log1p (sqrt (/ 1 x))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (- (expm1 (log1p (+ (log1p (sqrt (/ 1 x))) (log (- (sqrt (/ 1 x)) 1))))))) * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (pow (/ 1 x) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (log (- (/ (/ 1 x) (* x x)) 1)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (- (expm1 (log1p (- (log (- (/ (/ 1 x) (* x x)) 1)) (log (+ (* (/ 1 x) (/ 1 x)) (+ (* 1 1) (* (/ 1 x) 1))))))))) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (/ 1 x) (/ 1 x)) (* 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (log (fma (/ 1 x) (/ 1 x) (- 1))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (- (expm1 (log1p (- (log (fma (/ 1 x) (/ 1 x) (- 1))) (log (+ (/ 1 x) 1))))))) * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (/ 1 x) 1) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x) (- (expm1 (log1p (log (- (/ 1 x) 1)))))) * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/2 (pow x 2)) (log x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (- (fma (fma 1/2 x 1) x (log x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (- (fma (fma 1/2 x 1) x (log x))))) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))))) * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))))) * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (log x))) (+ (* 1/2 (/ (pow x 2) (- 1 (log x)))) (+ (* 1/2 (/ (pow x 2) (pow (- 1 (log x)) 2))) (/ x (- 1 (log x)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (fma (- 1/2) (fma (/ x (- 1 (log x))) (/ x (- 1 (log x))) (/ (* x x) (- 1 (log x)))) (- (log (- 1 (log x))) (/ x (- 1 (log x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (expm1 (fma (- 1/2) (fma (/ x (- 1 (log x))) (/ x (- 1 (log x))) (/ (* x x) (- 1 (log x)))) (- (log (- 1 (log x))) (/ x (- 1 (log x)))))))) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (log -1) 1)) (+ (/ 1 (* x (+ (log -1) 1))) (+ (* 1/2 (/ 1 (* (pow x 2) (+ (log -1) 1)))) (* 1/2 (/ 1 (* (pow x 2) (pow (+ (log -1) 1) 2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (- (- (log1p (log -1)) (/ (/ 1/2 x) (fma (log -1) x x))) (fma (/ 1 (+ 1 (log -1))) (/ (/ 1/2 x) (fma (log -1) x x)) (/ 1 (fma (log -1) x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (expm1 (- (- (log1p (log -1)) (/ (/ 1/2 x) (fma (log -1) x x))) (fma (/ 1 (+ 1 (log -1))) (/ (/ 1/2 x) (fma (log -1) x x)) (/ 1 (fma (log -1) x x))))))) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (log -1) 1)) (+ (/ 1 (* x (+ (log -1) 1))) (+ (* 1/2 (/ 1 (* (pow x 2) (+ (log -1) 1)))) (* 1/2 (/ 1 (* (pow x 2) (pow (+ (log -1) 1) 2))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (342 enodes) * [exit]simplify: Simplified to (- (- (log1p (log -1)) (/ (/ 1/2 x) (fma (log -1) x x))) (fma (/ 1 (+ 1 (log -1))) (/ (/ 1/2 x) (fma (log -1) x x)) (/ 1 (fma (log -1) x x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (- (expm1 (- (- (log1p (log -1)) (/ (/ 1/2 x) (fma (log -1) x x))) (fma (/ 1 (+ 1 (log -1))) (/ (/ 1/2 x) (fma (log -1) x x)) (/ 1 (fma (log -1) x x))))))) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (* 1/2 (pow x 2)) (log x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (- (fma (fma 1/2 x 1) x (log x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (- (expm1 (log1p (- (fma (fma 1/2 x 1) x (log x))))))) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (- (expm1 (log1p (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))))))) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x) (- (expm1 (log1p (- (log -1) (fma (/ 1/2 x) (/ 1 x) (/ 1 x))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 5 branch expressions: (x (/ 1 x) (- (/ 1 x) 1) (log (- (/ 1 x) 1)) (- (log (- (/ 1 x) 1)))) * * * * [misc]regimes: Trying to branch on x from (# #) * * * * [misc]regimes: Trying to branch on (/ 1 x) from (# #) * * * * [misc]regimes: Trying to branch on (- (/ 1 x) 1) from (# #) * * * * [misc]regimes: Trying to branch on (log (- (/ 1 x) 1)) from (# #) * * * * [misc]regimes: Trying to branch on (- (log (- (/ 1 x) 1))) from (# #) * * * [misc]regime: Found split indices: #