* [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 * * * * [misc]points: Sampling 65 additional inputs, on iter 1 have 191 / 256 * * * * [misc]points: Computing exacts on every 4 of 65 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 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 65 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 2 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 3 have 253 / 256 * * * * [misc]points: Computing exacts for 4 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 (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (exp x) (expm1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp x) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (exp x) (expm1 x)) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) 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 (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 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 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 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 1) (+ (* 1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 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 (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 x)) (expm1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 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 (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ 1 x)) 1)) (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))) (* 0 (/ 0 (- (exp (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 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 (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- x))) (expm1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 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 (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (exp (/ -1 x)) 1)) (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))) (* 0 (/ 0 (- (exp (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (- x (log (expm1 x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (- x (log (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- x (log (expm1 x))))) * * * * [misc]progress: [ 5 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (pow (/ (exp x) (expm1 x)) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (exp x) (expm1 x)) 3))) * * * * [misc]progress: [ 8 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp x)) (cbrt (expm1 x))) (/ (cbrt (exp x)) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (exp x)) (cbrt (expm1 x))) (/ (cbrt (exp x)) (cbrt (expm1 x)))) (/ (cbrt (exp x)) (cbrt (expm1 x))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (cbrt (exp x)) (cbrt (expm1 x))))) * * * * [misc]progress: [ 13 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (/ (sqrt (expm1 x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (exp x)) (/ (sqrt (expm1 x)) (cbrt (exp x)))) (/ (cbrt (exp x)) (sqrt (expm1 x))))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x))) (/ (cbrt (exp x)) (sqrt (expm1 x))))) * * * * [misc]progress: [ 14 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp x)) (cbrt (exp x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (expm1 x)))) * [enter]simplify: Simplifying (/ (cbrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (exp x)) (cbrt (exp x))) (/ (cbrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 15 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (exp x)) (cbrt (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt (exp x)) (cbrt (expm1 x))))) * * * * [misc]progress: [ 16 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (expm1 x))) (/ (sqrt (exp x)) (sqrt (expm1 x))))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (exp x)) (sqrt (expm1 x))) (/ (sqrt (exp x)) (sqrt (expm1 x))))) * * * * [misc]progress: [ 17 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * [enter]simplify: Simplifying (/ (sqrt (exp x)) (expm1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp x)) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (exp x)) (/ (sqrt (exp x)) (expm1 x)))) * * * * [misc]progress: [ 18 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (expm1 x))) (cbrt (expm1 x))) (/ (exp x) (cbrt (expm1 x))))) * [enter]simplify: Simplifying (/ (exp x) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (exp x) (cbrt (expm1 x))))) * * * * [misc]progress: [ 19 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (expm1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (expm1 x))) (/ (exp x) (sqrt (expm1 x))))) * [enter]simplify: Simplifying (/ (exp x) (sqrt (expm1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (exp x) (sqrt (expm1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (expm1 x))) (/ (exp x) (sqrt (expm1 x))))) * * * * [misc]progress: [ 20 / 32 ] 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 (/ (exp x) (expm1 x)))) * [enter]simplify: Simplifying (/ (exp x) (expm1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (exp x) (expm1 x)))) * * * * [misc]progress: [ 21 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (cbrt (expm1 x)))) * * * * [misc]progress: [ 25 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) (sqrt (expm1 x))) (sqrt (expm1 x)))) * * * * [misc]progress: [ 26 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (expm1 x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (exp x) 1) (expm1 x))) * * * * [misc]progress: [ 27 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (exp x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (exp x)) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x))))) * * * * [misc]progress: [ 28 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (exp x)) (/ (expm1 x) (sqrt (exp x))))) * * * * [misc]progress: [ 29 / 32 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (fma 1/12 x 1/2) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma 1/12 x 1/2) (/ 1 x))) * * * * [misc]progress: [ 31 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 32 / 32 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 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 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (expm1 x) (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (expm1 x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 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 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 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 (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/6 1) (+ (* 1 (/ 1/2 1)) (* -1/2 (/ 1 1)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ x (* 1/6 (pow x 3))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (expm1 (/ 1 x)) (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) into (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) into (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) into (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 (/ 1 x))) 1) (exp (/ 1 (/ 1 x)))) into (/ (- (exp x) 1) (exp x)) * [misc]approximate: Taking taylor expansion of (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) into (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) into (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) into (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 (/ 1 (- x)))) 1) (exp (/ -1 (/ 1 (- x))))) into (/ (- (exp x) 1) (exp x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (expm1 x) (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (expm1 x) (exp x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (expm1 x) (exp x))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 x) (exp x)) in x * [misc]taylor: Taking taylor expansion of (expm1 x) in x * [misc]taylor: Rewrote expression to (- (exp x) 1) * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 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 (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* 1 (/ 1 1)))) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/6 0) into 1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (/ 1/6 1) (+ (* 1 (/ 1/2 1)) (* -1/2 (/ 1 1)))) into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/6 1)) (* 1/2 (/ -1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (expm1 (/ 1 x)) (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (expm1 (/ 1 x)) (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) into (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x)))) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (expm1 (/ 1 x)) (exp (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 x)) (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 x)) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 x)) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 x)) -1) into (- (exp (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) into (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x)))) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) into (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ 1 x))) (+ (* (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ 1 x)) (- (exp (/ 1 x)) 1)) (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))) (* 0 (/ 0 (/ (- (exp (/ 1 x)) 1) (exp (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 x))) (- (exp (/ 1 (/ 1 x))) 1)) into (/ (exp x) (- (exp x) 1)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) into (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x)))) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 (- x))) (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (- (exp (/ 1 (- x))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ -1 x)) -1) into (- (exp (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) into (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x)))) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) into (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (exp (/ -1 x))) (+ (* (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ (exp (/ -1 x)) (- (exp (/ -1 x)) 1)) (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))) (* 0 (/ 0 (/ (- (exp (/ -1 x)) 1) (exp (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- x)))) (- (exp (/ -1 (/ 1 (- x)))) 1)) into (/ (exp x) (- (exp x) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (- (log (expm1 x)) x) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (exp (- (log (expm1 x)) x)))) * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (exp x) (exp x)) (exp x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (pow (/ (expm1 x) (exp x)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (cbrt (pow (/ (expm1 x) (exp x)) 3)))) * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (exp x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (- 1 (/ 1 (exp x))))) * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (expm1 x)) (cbrt (exp x))) (/ (cbrt (expm1 x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (* (/ (cbrt (expm1 x)) (cbrt (exp x))) (/ (cbrt (expm1 x)) (cbrt (exp x)))) (/ (cbrt (expm1 x)) (cbrt (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (cbrt (expm1 x)) (cbrt (exp x)))))) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt (exp x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (/ (sqrt (exp x)) (cbrt (expm1 x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (cbrt (expm1 x)) (/ (sqrt (exp x)) (cbrt (expm1 x)))) (/ (cbrt (expm1 x)) (sqrt (exp x)))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (sqrt (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt (exp x))) (/ (cbrt (expm1 x)) (sqrt (exp x)))))) * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (* (cbrt (expm1 x)) (cbrt (expm1 x))) (/ (cbrt (expm1 x)) (exp x))))) * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (exp x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (exp x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (* (cbrt (expm1 x)) (cbrt (expm1 x))) (/ (cbrt (expm1 x)) (exp x))))) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (* (cbrt (exp x)) (cbrt (exp x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (sqrt (expm1 x)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt (expm1 x)) (cbrt (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (sqrt (expm1 x)) (* (cbrt (exp x)) (cbrt (exp x)))) (/ (sqrt (expm1 x)) (cbrt (exp x)))))) * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (sqrt (expm1 x)) (sqrt (exp x))) (/ (sqrt (expm1 x)) (sqrt (exp x)))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ (sqrt (expm1 x)) (sqrt (exp x))) (/ (sqrt (expm1 x)) (sqrt (exp x)))))) * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (sqrt (expm1 x)) (/ (sqrt (expm1 x)) (exp x))))) * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (exp x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (exp x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (sqrt (expm1 x)) (/ (sqrt (expm1 x)) (exp x))))) * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (exp x))) (cbrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ (/ 1 (cbrt (exp x))) (cbrt (exp x))) (/ (expm1 x) (cbrt (exp x)))))) * [enter]simplify: Simplifying (/ (expm1 x) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (/ (expm1 x) (cbrt (exp x)))))) * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (exp x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (* (/ 1 (sqrt (exp x))) (/ (expm1 x) (sqrt (exp x)))))) * [enter]simplify: Simplifying (/ (expm1 x) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* (/ 1 (sqrt (exp x))) (/ (expm1 x) (sqrt (exp x)))))) * * * * [misc]progress: [ 21 / 66 ] 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 2 1) to (λ (x) (/ 1 (* 1 (/ (expm1 x) (exp x))))) * [enter]simplify: Simplifying (/ (expm1 x) (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (* 1 (/ (expm1 x) (exp x))))) * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (expm1 x) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x))))) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (expm1 x) (sqrt (exp x))) (sqrt (exp x))))) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (/ (/ (expm1 x) 1) (exp x)))) * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 x)) (cbrt (expm1 x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 x)) (cbrt (expm1 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (/ (exp x) (cbrt (expm1 x)))))) * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (/ 1 (/ (sqrt (expm1 x)) (/ (exp x) (sqrt (expm1 x)))))) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (/ (expm1 x) (exp x)) (- 1))) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 x) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (* (cbrt (/ (expm1 x) (exp x))) (cbrt (/ (expm1 x) (exp x))))) (cbrt (/ (expm1 x) (exp x))))) * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 x) (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 x) (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x))))) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (cbrt (expm1 x)) (cbrt (exp x))))) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt (exp x)))) (/ (cbrt (expm1 x)) (sqrt (exp x))))) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 x)) (exp x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 x)) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) 1)) (/ (cbrt (expm1 x)) (exp x)))) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (expm1 x)) (* (cbrt (exp x)) (cbrt (exp x))))) (/ (sqrt (expm1 x)) (cbrt (exp x))))) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (expm1 x)) (sqrt (exp x)))) (/ (sqrt (expm1 x)) (sqrt (exp x))))) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 x)) (exp x)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 x)) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ (sqrt (expm1 x)) 1)) (/ (sqrt (expm1 x)) (exp x)))) * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (cbrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (cbrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 (* (cbrt (exp x)) (cbrt (exp x))))) (/ (expm1 x) (cbrt (exp x))))) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (sqrt (exp x))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (sqrt (exp x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 (sqrt (exp x)))) (/ (expm1 x) (sqrt (exp x))))) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (/ 1 1)) (/ (expm1 x) (exp x)))) * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 x) (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 1) (/ (expm1 x) (exp x)))) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (exp (- x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (expm1 x)) (exp (- x)))) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (expm1 x)) (exp x))) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (* 1/6 (pow x 3))) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (* x x) (- (* x 1/6) 1/2) x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (fma (* x x) (- (* x 1/6) 1/2) x))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (exp x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (/ (expm1 x) (exp x)))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (exp x) 1) (exp x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (expm1 x) (exp x)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (/ (expm1 x) (exp x)))) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (fma 1/12 x 1/2) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma 1/12 x 1/2) (/ 1 x))) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 x))) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp x) (- (exp x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (exp x) (expm1 x)) * [misc]simplify: Simplified (2) to (λ (x) (/ (exp x) (expm1 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 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1 (exp x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp 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 (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp 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 (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [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 (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1 (/ 1/2 1)) (* 1/2 (/ 1 1)))) into -1/6 * [misc]backup-simplify: Simplify (- -1/6) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]backup-simplify: Simplify (+ (* 1/6 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ x (* 1/6 (pow x 3))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1 (exp (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp (/ 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 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp (/ 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 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ 1 x)))) into (- (/ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (exp (/ 1 x))))) into (- 1 (/ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (- 1 (/ 1 (exp (/ 1 x)))) into (- 1 (/ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (/ 1 (exp (/ 1 (/ 1 x))))) into (- 1 (/ 1 (exp x))) * [misc]approximate: Taking taylor expansion of (- 1 (/ 1 (exp (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp (/ 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 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp (/ 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 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ -1 x)))) into (- (/ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (exp (/ -1 x))))) into (- 1 (/ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (- 1 (/ 1 (exp (/ -1 x)))) into (- 1 (/ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (/ 1 (exp (/ -1 (/ 1 (- x)))))) into (- 1 (/ 1 (exp x))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (exp x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 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 (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 (/ 1 x)))) into (/ 1 (exp x)) * [misc]approximate: Taking taylor expansion of (/ 1 (exp (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 (/ 1 (- x))))) into (/ 1 (exp x)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp 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 (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp 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 (exp x)) in x * [misc]taylor: Taking taylor expansion of (exp 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 (exp 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1 (/ 1/2 1)) (* 1/2 (/ 1 1)))) into -1/6 * [misc]backup-simplify: Simplify (- -1/6) into 1/6 * [misc]backup-simplify: Simplify (+ 0 1/6) into 1/6 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1/6 1)) (* 1/2 (/ -1/2 1)))) into 1/12 * [misc]backup-simplify: Simplify 1/12 into 1/12 * [misc]backup-simplify: Simplify (+ (* 1/12 x) (+ 1/2 (* 1 (/ 1 x)))) into (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * [misc]approximate: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp (/ 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 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ 1 x)))) into (- (/ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (exp (/ 1 x))))) into (- 1 (/ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) into (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp (/ 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 (exp (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 x)) into (exp (/ 1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ 1 x))) into (/ 1 (exp (/ 1 x))) * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ 1 x)))) into (- (/ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (exp (/ 1 x))))) into (- 1 (/ 1 (exp (/ 1 x)))) * [misc]backup-simplify: Simplify (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) into (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) into (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ 1 x))) (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))) (* 0 (/ 0 (exp (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ 1 x))))) (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (- 1 (/ 1 (exp (/ 1 (/ 1 x)))))) into (/ 1 (- 1 (/ 1 (exp x)))) * [misc]approximate: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp (/ 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 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ -1 x)))) into (- (/ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (exp (/ -1 x))))) into (- 1 (/ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) into (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) * [misc]taylor: Taking taylor expansion of (/ 1 (- 1 (/ 1 (exp (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (exp (/ 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 (exp (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (exp (/ 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 (exp (/ 1 (- x))) into (exp (/ -1 x)) * [misc]backup-simplify: Simplify (/ 1 (exp (/ -1 x))) into (/ 1 (exp (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 1 (exp (/ -1 x)))) into (- (/ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (exp (/ -1 x))))) into (- 1 (/ 1 (exp (/ -1 x)))) * [misc]backup-simplify: Simplify (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) into (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) into (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (/ -1 x))) (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))) (* 0 (/ 0 (exp (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (- 1 (/ 1 (exp (/ -1 x))))) (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))) (* 0 (/ 0 (- 1 (/ 1 (exp (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (- 1 (/ 1 (exp (/ -1 (/ 1 (- x))))))) into (/ 1 (- 1 (/ 1 (exp x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ 1 (- 1 (pow (exp x) (- 1))))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (exp x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ 1 (- 1 (/ (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x)))))) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp x)) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ 1 (- 1 (/ (/ 1 (sqrt (exp x))) (sqrt (exp x)))))) * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (exp x) * [misc]simplify: Simplified (2 2 2 2) to (λ (x) (/ 1 (- 1 (/ (/ 1 1) (exp x))))) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2) to (λ (x) (pow (- 1 (/ 1 (exp x))) (- 1))) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (/ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (exp (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (* (cbrt (- 1 (/ 1 (exp x)))) (cbrt (- 1 (/ 1 (exp x)))))) (cbrt (- 1 (exp (- x)))))) * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (/ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (exp (- x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 (sqrt (- 1 (/ 1 (exp x))))) (sqrt (- 1 (exp (- x)))))) * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ 1 (exp x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- 1 (exp (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ 1 1) (- 1 (exp (- x))))) * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (/ 1 (exp x)) (/ 1 (exp x))) (* 1 (/ 1 (exp x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (+ (fma (exp (- x)) (exp (- x)) 1) (exp (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (- (pow 1 3) (pow (/ 1 (exp x)) 3))) (+ (fma (exp (- x)) (exp (- x)) 1) (exp (- x))))) * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (/ 1 (exp x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (+ (exp (- x)) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (- (* 1 1) (* (/ 1 (exp x)) (/ 1 (exp x))))) (+ (exp (- x)) 1))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (* 1/6 (pow x 3))) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (* x x) (- (* x 1/6) 1/2) x) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (fma (* x x) (- (* x 1/6) 1/2) x))) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ 1 (exp x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- 1 (exp (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (- 1 (exp (- x))))) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (/ 1 (exp x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- 1 (exp (- x))) * [misc]simplify: Simplified (2 2) to (λ (x) (/ 1 (- 1 (exp (- x))))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (- 1 (fma (* 1/2 x) x (- 1 x))))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (exp (- x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (- 1 (exp (- x))))) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (exp (- x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (/ 1 (- 1 (exp (- x))))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/12 x) (+ (/ 1 x) 1/2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (fma 1/12 x 1/2) (/ 1 x)) * [misc]simplify: Simplified (2) to (λ (x) (+ (fma 1/12 x 1/2) (/ 1 x))) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (/ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (exp (- x)))) * [misc]simplify: Simplified (2) to (λ (x) (/ 1 (- 1 (exp (- x))))) * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1 (/ 1 (exp x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (exp (- x)))) * [misc]simplify: Simplified (2) to (λ (x) (/ 1 (- 1 (exp (- x))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 2 branch expressions: (x (exp x)) * * * * [misc]regimes: Trying to branch on x from (# #) * * * * [misc]regimes: Trying to branch on (exp x) from (# #) * * * [misc]regime: Found split indices: #