* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 82 additional inputs, on iter 1 have 174 / 256 * * * * [misc]points: Computing exacts on every 5 of 82 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 82 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 82 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 31 additional inputs, on iter 2 have 225 / 256 * * * * [misc]points: Computing exacts for 31 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 3 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 4 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (exp a) (+ (exp a) (exp b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (exp a) (+ (exp a) (exp b))) * * [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 a) (+ (exp a) (exp b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp a) (+ (exp a) (exp b))) in b * [misc]taylor: Taking taylor expansion of (exp a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (exp a) into (exp a) * [misc]taylor: Taking taylor expansion of (+ (exp a) (exp b)) in b * [misc]taylor: Taking taylor expansion of (exp a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (exp a) into (exp a) * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ (exp a) 1) into (+ (exp a) 1) * [misc]backup-simplify: Simplify (/ (exp a) (+ (exp a) 1)) into (/ (exp a) (+ (exp a) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp a) (+ (exp a) (exp b))) in a * [misc]taylor: Taking taylor expansion of (exp a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ (exp a) (exp b)) in a * [misc]taylor: Taking taylor expansion of (exp a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (exp b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (exp b) into (exp b) * [misc]backup-simplify: Simplify (+ 1 (exp b)) into (+ (exp b) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp b) 1)) into (/ 1 (+ (exp b) 1)) * [misc]taylor: Taking taylor expansion of (/ (exp a) (+ (exp a) (exp b))) in a * [misc]taylor: Taking taylor expansion of (exp a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (+ (exp a) (exp b)) in a * [misc]taylor: Taking taylor expansion of (exp a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (exp b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (exp b) into (exp b) * [misc]backup-simplify: Simplify (+ 1 (exp b)) into (+ (exp b) 1) * [misc]backup-simplify: Simplify (/ 1 (+ (exp b) 1)) into (/ 1 (+ (exp b) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (exp b) 1) in b * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp b) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 (+ (exp b) 1)) (+ (* (/ 1 (+ (exp b) 1)) (/ 1 (+ (exp b) 1))))) into (- (/ 1 (+ (exp b) 1)) (/ 1 (pow (+ (exp b) 1) 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ (exp b) 1)) (/ 1 (pow (+ (exp b) 1) 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (exp b) 1) in b * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ (exp b) 1) 2)) in b * [misc]taylor: Taking taylor expansion of (pow (+ (exp b) 1) 2) in b * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ (exp b) 1)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (log (+ (exp b) 1))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log (+ (exp b) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (exp b) 1) in b * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]backup-simplify: Simplify (/ 1 (pow 2 2)) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 1/2 -1/4) into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 1 2)))) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* -1/4 (* b 1)) (+ (* 1/4 (* 1 a)) 1/2)) into (- (+ (* 1/4 a) 1/2) (* 1/4 b)) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 a)) (exp (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 a)) (exp (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 a)) (exp (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (exp (/ 1 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 a)) (exp (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (exp (/ 1 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ 1 b)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 a)) into (exp (/ 1 a)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 b)) (exp (/ 1 a))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 b)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a)))) (+ (* (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a)))) (+ (* (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 b)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a)))) (+ (* (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))) (* 0 (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a)))) (+ (* (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))) (* 0 (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 b)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a)))) (+ (* (/ (exp (/ 1 a)) (+ (exp (/ 1 b)) (exp (/ 1 a)))) (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))) (* 0 (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))) (* 0 (/ 0 (+ (exp (/ 1 b)) (exp (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ 1 (/ 1 a))) (+ (exp (/ 1 (/ 1 b))) (exp (/ 1 (/ 1 a))))) into (/ (exp a) (+ (exp b) (exp a))) * [misc]approximate: Taking taylor expansion of (/ (exp (/ 1 (- a))) (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- a))) (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (/ -1 a)) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (/ -1 a)) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b))) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- a))) (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- a))) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- a))) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (exp (/ -1 b)) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (/ (exp (/ 1 (- a))) (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- a))) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- a))) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (exp (/ -1 b)) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b * [misc]taylor: Taking taylor expansion of (exp (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (/ -1 a)) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b * [misc]taylor: Taking taylor expansion of (exp (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ -1 b)) * [misc]taylor: Taking taylor expansion of (exp (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (/ -1 a)) into (exp (/ -1 a)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 b)) (exp (/ -1 a))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]backup-simplify: Simplify (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 b)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a)))) (+ (* (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a)))) (+ (* (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 b)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a)))) (+ (* (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))) (* 0 (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a)))) (+ (* (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))) (* 0 (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 b)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a)))) (+ (* (/ (exp (/ -1 a)) (+ (exp (/ -1 b)) (exp (/ -1 a)))) (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))) (* 0 (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))) (* 0 (/ 0 (+ (exp (/ -1 b)) (exp (/ -1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (exp (/ -1 (/ 1 (- a)))) (+ (exp (/ -1 (/ 1 (- b)))) (exp (/ -1 (/ 1 (- a)))))) into (/ (exp a) (+ (exp b) (exp a))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- a (log (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- a (log (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- a (log (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 3 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (exp a) (exp a)) (exp a)) (* (* (+ (exp a) (exp b)) (+ (exp a) (exp b))) (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (pow (/ (exp a) (+ (exp a) (exp b))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (exp a) (+ (exp a) (exp b))) 3))) * * * * [misc]progress: [ 6 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b)))) (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b)))) (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b))))) (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b)))))) * [enter]simplify: Simplifying (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (exp a)) (cbrt (exp a))) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (cbrt (exp a)) (cbrt (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 11 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b)))) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))))) * [enter]simplify: Simplifying (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (exp a)) (cbrt (exp a))) (sqrt (+ (exp a) (exp b)))) (/ (cbrt (exp a)) (sqrt (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 12 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp a)) (cbrt (exp a))) 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 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (exp a)) (cbrt (exp a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))) * [enter]simplify: Simplifying (/ (cbrt (exp a)) (+ (exp a) (exp b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp a)) (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))) * * * * [misc]progress: [ 13 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (exp a)) (cbrt (exp a))) 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 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (exp a)) (cbrt (exp a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))) * [enter]simplify: Simplifying (/ (cbrt (exp a)) (+ (exp a) (exp b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (exp a)) (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (exp a)) (cbrt (exp a))) (/ (cbrt (exp a)) (+ (exp a) (exp b))))) * * * * [misc]progress: [ 14 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b)))) (cbrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b)))) (cbrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b)))))) * [enter]simplify: Simplifying (/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (exp a)) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (sqrt (exp a)) (cbrt (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 15 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))))) * [enter]simplify: Simplifying (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))) (/ (sqrt (exp a)) (sqrt (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 16 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp a)) 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 a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))) * [enter]simplify: Simplifying (/ (sqrt (exp a)) (+ (exp a) (exp b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp a)) (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))) * * * * [misc]progress: [ 17 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (exp a)) 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 a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))) * [enter]simplify: Simplifying (/ (sqrt (exp a)) (+ (exp a) (exp b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (exp a)) (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (sqrt (exp a)) (/ (sqrt (exp a)) (+ (exp a) (exp b))))) * * * * [misc]progress: [ 18 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (exp a) (exp b)))) (cbrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ 1 (cbrt (+ (exp a) (exp b)))) (cbrt (+ (exp a) (exp b)))) (/ (exp a) (cbrt (+ (exp a) (exp b)))))) * [enter]simplify: Simplifying (/ (exp a) (cbrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (exp a) (cbrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (/ (exp a) (cbrt (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 19 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (exp a) (sqrt (+ (exp a) (exp b)))))) * [enter]simplify: Simplifying (/ (exp a) (sqrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (exp a) (sqrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (sqrt (+ (exp a) (exp b)))) (/ (exp a) (sqrt (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 20 / 36 ] 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 (a b) (* 1 (/ (exp a) (+ (exp a) (exp b))))) * [enter]simplify: Simplifying (/ (exp a) (+ (exp a) (exp b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (exp a) (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (exp a) (+ (exp a) (exp b))))) * * * * [misc]progress: [ 21 / 36 ] 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 (a b) (* 1 (/ (exp a) (+ (exp a) (exp b))))) * [enter]simplify: Simplifying (/ (exp a) (+ (exp a) (exp b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (exp a) (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* 1 (/ (exp a) (+ (exp a) (exp b))))) * * * * [misc]progress: [ 22 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (exp a) (exp b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (exp a) (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (cbrt (+ (exp a) (exp b))))) * * * * [misc]progress: [ 26 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (exp a) (exp b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (exp a) (sqrt (+ (exp a) (exp b)))) (sqrt (+ (exp a) (exp b))))) * * * * [misc]progress: [ 27 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp a) (exp b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (+ (exp a) (exp b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (exp a) 1) (+ (exp a) (exp b)))) * * * * [misc]progress: [ 28 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp a) (exp b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (+ (exp a) (exp b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (exp a) 1) (+ (exp a) (exp b)))) * * * * [misc]progress: [ 29 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (exp a)) (cbrt (exp a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (exp a)) (cbrt (exp a))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (exp a)) (cbrt (exp a))) (/ (+ (exp a) (exp b)) (cbrt (exp a))))) * * * * [misc]progress: [ 30 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (exp a)) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (exp a)) (/ (+ (exp a) (exp b)) (sqrt (exp a))))) * * * * [misc]progress: [ 31 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (- (* (exp b) (- (exp b) (exp a))) (* (exp a) (- (exp a)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (exp a) (+ (pow (exp a) 3) (pow (exp b) 3))) (- (* (exp b) (- (exp b) (exp a))) (* (exp a) (- (exp a)))))) * * * * [misc]progress: [ 33 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp a) (exp b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (- (exp a) (exp b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (exp a) (- (* (exp a) (exp a)) (* (exp b) (exp b)))) (- (exp a) (exp b)))) * * * * [misc]progress: [ 34 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/4 a) 1/2) (* 1/4 b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (+ 1/2 (* (- a b) 1/4)) * [misc]simplify: Simplified (2) to (λ (a b) (+ 1/2 (* (- a b) 1/4))) * * * * [misc]progress: [ 35 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp a) (+ (exp b) (exp a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (exp a) (+ (exp a) (exp b))) * [misc]simplify: Simplified (2) to (λ (a b) (/ (exp a) (+ (exp a) (exp b)))) * * * * [misc]progress: [ 36 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp a) (+ (exp b) (exp a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (exp a) (+ (exp a) (exp b))) * [misc]simplify: Simplified (2) to (λ (a b) (/ (exp a) (+ (exp a) (exp b)))) * * * [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 1 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (log (+ (exp a) (exp b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp a) (exp b))) in b * [misc]taylor: Taking taylor expansion of (+ (exp a) (exp b)) in b * [misc]taylor: Taking taylor expansion of (exp a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (exp a) into (exp a) * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ (exp a) 1) into (+ (exp a) 1) * [misc]backup-simplify: Simplify (log (+ (exp a) 1)) into (log (+ (exp a) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp a) (exp b))) in a * [misc]taylor: Taking taylor expansion of (+ (exp a) (exp b)) in a * [misc]taylor: Taking taylor expansion of (exp a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (exp b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (exp b) into (exp b) * [misc]backup-simplify: Simplify (+ 1 (exp b)) into (+ (exp b) 1) * [misc]backup-simplify: Simplify (log (+ (exp b) 1)) into (log (+ (exp b) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp a) (exp b))) in a * [misc]taylor: Taking taylor expansion of (+ (exp a) (exp b)) in a * [misc]taylor: Taking taylor expansion of (exp a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (exp b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (exp b) into (exp b) * [misc]backup-simplify: Simplify (+ 1 (exp b)) into (+ (exp b) 1) * [misc]backup-simplify: Simplify (log (+ (exp b) 1)) into (log (+ (exp b) 1)) * [misc]taylor: Taking taylor expansion of (log (+ (exp b) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (exp b) 1) in b * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp b) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (exp b) 1) 1)))) 1) into (/ 1 (+ (exp b) 1)) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (exp b) 1) in b * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (* b 1)) (+ (* 1/2 (* 1 a)) (log 2))) into (+ (* 1/2 a) (+ (* 1/2 b) (log 2))) * [misc]approximate: Taking taylor expansion of (log (+ (exp (/ 1 a)) (exp (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 a)) (exp (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 a)) (exp (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (exp (/ 1 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 a)) (exp (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (exp (/ 1 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ 1 b)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 a)) into (exp (/ 1 a)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 b)) (exp (/ 1 a))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 b)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 b)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 b)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 (/ 1 b))) (exp (/ 1 (/ 1 a))))) into (log (+ (exp b) (exp a))) * [misc]approximate: Taking taylor expansion of (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (/ -1 a)) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b))) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- a))) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (exp (/ -1 b)) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- a))) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (exp (/ -1 b)) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b * [misc]taylor: Taking taylor expansion of (exp (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ -1 b)) * [misc]taylor: Taking taylor expansion of (exp (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (/ -1 a)) into (exp (/ -1 a)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 b)) (exp (/ -1 a))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 b)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 b)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 b)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 (/ 1 (- b)))) (exp (/ -1 (/ 1 (- a)))))) into (log (+ (exp b) (exp a))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- a (log (+ (exp a) (exp b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- a (log (+ (exp a) (exp b)))) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (log (+ (exp a) (exp b))) in b * [misc]taylor: Taking taylor expansion of (+ (exp a) (exp b)) in b * [misc]taylor: Taking taylor expansion of (exp a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (exp a) into (exp a) * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ (exp a) 1) into (+ (exp a) 1) * [misc]backup-simplify: Simplify (log (+ (exp a) 1)) into (log (+ (exp a) 1)) * [misc]taylor: Taking taylor expansion of (- a (log (+ (exp a) (exp b)))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (exp a) (exp b))) in a * [misc]taylor: Taking taylor expansion of (+ (exp a) (exp b)) in a * [misc]taylor: Taking taylor expansion of (exp a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (exp b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (exp b) into (exp b) * [misc]backup-simplify: Simplify (+ 1 (exp b)) into (+ (exp b) 1) * [misc]backup-simplify: Simplify (log (+ (exp b) 1)) into (log (+ (exp b) 1)) * [misc]taylor: Taking taylor expansion of (- a (log (+ (exp a) (exp b)))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (exp a) (exp b))) in a * [misc]taylor: Taking taylor expansion of (+ (exp a) (exp b)) in a * [misc]taylor: Taking taylor expansion of (exp a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (exp b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (exp b) into (exp b) * [misc]backup-simplify: Simplify (+ 1 (exp b)) into (+ (exp b) 1) * [misc]backup-simplify: Simplify (log (+ (exp b) 1)) into (log (+ (exp b) 1)) * [misc]backup-simplify: Simplify (- (log (+ (exp b) 1))) into (- (log (+ (exp b) 1))) * [misc]backup-simplify: Simplify (+ 0 (- (log (+ (exp b) 1)))) into (- (log (+ (exp b) 1))) * [misc]taylor: Taking taylor expansion of (- (log (+ (exp b) 1))) in b * [misc]taylor: Taking taylor expansion of (log (+ (exp b) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (exp b) 1) in b * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- (log 2)) into (- (log 2)) * [misc]backup-simplify: Simplify (- (log 2)) into (- (log 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (* (exp b) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (+ (exp b) 1) 1)))) 1) into (/ 1 (+ (exp b) 1)) * [misc]backup-simplify: Simplify (- (/ 1 (+ (exp b) 1))) into (- (/ 1 (+ (exp b) 1))) * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 (+ (exp b) 1)))) into (- 1 (/ 1 (+ (exp b) 1))) * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (+ (exp b) 1))) in b * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (exp b) 1)) in b * [misc]taylor: Taking taylor expansion of (+ (exp b) 1) in b * [misc]taylor: Taking taylor expansion of (exp b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 1 -1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* b 1)) (+ (* 1/2 (* 1 a)) (- (log 2)))) into (- (* 1/2 a) (+ (* 1/2 b) (log 2))) * [misc]approximate: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 a)) (exp (/ 1 b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 a)) (exp (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 a)) (exp (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 a)) (exp (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 a)) (exp (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (exp (/ 1 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (log (+ (exp (/ 1 a)) (exp (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 a)) (exp (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 a)) (exp (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 a)) into (exp (/ 1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (exp (/ 1 b)) into (exp (/ 1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 a)) (exp (/ 1 b))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) into (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) * [misc]backup-simplify: Simplify (+ 0 (- (log (+ (exp (/ 1 b)) (exp (/ 1 a)))))) into (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 b)) (exp (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ 1 b)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (exp (/ 1 a)) into (exp (/ 1 a)) * [misc]backup-simplify: Simplify (+ (exp (/ 1 b)) (exp (/ 1 a))) into (+ (exp (/ 1 b)) (exp (/ 1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) into (log (+ (exp (/ 1 b)) (exp (/ 1 a)))) * [misc]backup-simplify: Simplify (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) into (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) * [misc]backup-simplify: Simplify (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) into (- (log (+ (exp (/ 1 b)) (exp (/ 1 a))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 b)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ 1 b)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ 1 b)) (exp (/ 1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (log (+ (exp (/ 1 (/ 1 b))) (exp (/ 1 (/ 1 a)))))) (* 1 (* 1 (/ 1 (/ 1 a))))) into (- a (log (+ (exp b) (exp a)))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- a)) (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (/ -1 a)) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (- b))) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- a))) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (exp (/ -1 b)) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- a)) (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ 1 (- a))) (exp (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (+ (exp (/ 1 (- a))) (exp (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (- a))) into (exp (/ -1 a)) * [misc]taylor: Taking taylor expansion of (exp (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (exp (/ -1 b)) into (exp (/ -1 b)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 a)) (exp (/ -1 b))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) into (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) * [misc]backup-simplify: Simplify (+ 0 (- (log (+ (exp (/ -1 b)) (exp (/ -1 a)))))) into (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) * [misc]taylor: Taking taylor expansion of (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) in b * [misc]taylor: Taking taylor expansion of (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (exp (/ -1 b)) (exp (/ -1 a))) in b * [misc]taylor: Taking taylor expansion of (exp (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [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 b)) into (exp (/ -1 b)) * [misc]taylor: Taking taylor expansion of (exp (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (exp (/ -1 a)) into (exp (/ -1 a)) * [misc]backup-simplify: Simplify (+ (exp (/ -1 b)) (exp (/ -1 a))) into (+ (exp (/ -1 b)) (exp (/ -1 a))) * [misc]backup-simplify: Simplify (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) into (log (+ (exp (/ -1 b)) (exp (/ -1 a)))) * [misc]backup-simplify: Simplify (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) into (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) * [misc]backup-simplify: Simplify (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) into (- (log (+ (exp (/ -1 b)) (exp (/ -1 a))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 b)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ -1 b)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (exp (/ -1 b)) (exp (/ -1 a))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (log (+ (exp (/ -1 (/ 1 (- b)))) (exp (/ -1 (/ 1 (- a))))))) (* -1 (* 1 (/ 1 (/ 1 (- a)))))) into (- a (log (+ (exp b) (exp a)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (exp (- a (+ (log (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b))))) (log (cbrt (+ (exp a) (exp b)))))))) * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (exp (- a (+ (log (sqrt (+ (exp a) (exp b)))) (log (sqrt (+ (exp a) (exp b)))))))) * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (exp (- a (+ (log 1) (log (+ (exp a) (exp b))))))) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (exp (- a (+ (log 1) (log (+ (exp a) (exp b))))))) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow (exp a) 3) (pow (exp b) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (log (+ (pow (exp a) 3) (pow (exp b) 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (exp (- a (- (log (+ (pow (exp a) 3) (pow (exp b) 3))) (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))))))) * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (exp a) (exp a)) (* (exp b) (exp b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (log (* (- (exp a) (exp b)) (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (exp (- a (- (log (* (- (exp a) (exp b)) (+ (exp a) (exp b)))) (log (- (exp a) (exp b))))))) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp a) (exp b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (+ (exp a) (exp b)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (exp (- a (log (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (- (- a (log (* (cbrt (+ (exp a) (exp b))) (cbrt (+ (exp a) (exp b)))))) (log (cbrt (+ (exp a) (exp b))))))) * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (exp a) (exp b)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (- (- a (log (sqrt (+ (exp a) (exp b))))) (log (sqrt (+ (exp a) (exp b))))))) * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp a) (exp b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (- (- a (log 1)) (log (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp a) (exp b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (+ (exp a) (exp b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (- (- a (log 1)) (log (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* (exp a) (exp a)) (- (* (exp b) (exp b)) (* (exp a) (exp b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (- (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (+ (- a (log (+ (pow (exp a) 3) (pow (exp b) 3)))) (log (- (* (exp a) (exp a)) (* (exp b) (- (exp a) (exp b)))))))) * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (exp a) (exp b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log (- (exp a) (exp b))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (+ (- a (log (- (* (exp a) (exp a)) (* (exp b) (exp b))))) (log (- (exp a) (exp b)))))) * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 a) (+ (* 1/2 b) (log 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (log 2) (* (+ a b) 1/2)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (- a (+ (log 2) (* (+ a b) 1/2))))) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp b) (exp a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (+ (exp b) (exp a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (- a (log (+ (exp b) (exp a)))))) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (exp b) (exp a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (+ (exp b) (exp a))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (exp (- a (log (+ (exp b) (exp a)))))) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 a) (+ (* 1/2 b) (log 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (* 1/2 (- a b)) (log 2)) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (* 1/2 (- a b)) (log 2)))) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- a (log (+ (exp b) (exp a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- a (log (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- a (log (+ (exp a) (exp b)))))) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- a (log (+ (exp b) (exp a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (- a (log (+ (exp a) (exp b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- a (log (+ (exp a) (exp b)))))) * * * [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: generating series expansions * * * [misc]progress: simplifying candidates * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 3 branch expressions: (b (exp b) a) * * * * [misc]regimes: Trying to branch on b from (# #) * * * * [misc]regimes: Trying to branch on (exp b) from (# #) * * * * [misc]regimes: Trying to branch on a from (# #) * * * [misc]regime: Found split indices: #