* [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 11 additional inputs, on iter 1 have 245 / 256 * * * * [misc]points: Computing exacts for 11 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 2 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * * [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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (/ (* b d) (pow d 2)) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in a * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (/ (* b d) (+ (pow c 2) (pow d 2))) into (/ (* b d) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in d * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ (* a c) (pow c 2)) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (/ (* a c) (+ (pow c 2) (pow d 2))) into (/ (* a c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (* a c) (+ (pow c 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ (* a c) (pow c 2)) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ d 0) into d * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ d (+ (pow c 2) (pow d 2))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ d (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ d (+ (pow c 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 0 (pow c 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ d (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ a (pow c 3))) * [misc]taylor: Taking taylor expansion of (- (/ a (pow c 3))) in a * [misc]taylor: Taking taylor expansion of (/ a (pow c 3)) 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 (pow c 3) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* c (pow c 2)) into (pow c 3) * [misc]backup-simplify: Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 (* a c)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* c 1) into c * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in a * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow c 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 c) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (/ (/ 1 d) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1 (* a c)) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* c 1) into c * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in a * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow c 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* 0 (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (* c c) (* d d)) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [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 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]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 (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- c)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- d))) 1) 2))) into (+ (pow c 2) (pow d 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* b d) (* a c))) (log (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (log (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) 3))) * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c)))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 18 / 48 ] 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 c d) (* 1 (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* c c) (* d d)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) 1) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (+ (* c c) (* d d)) (cbrt (+ (* b d) (* a c)))))) * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* b d) (* a c))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* a c) (* b d))) (/ (+ (* c c) (* d d)) (sqrt (+ (* b d) (* a c)))))) * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (+ (pow (* c c) 3) (pow (* d d) 3))) (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c))))) * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* c c) (* d d)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ c d) (- c d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ c d) (- c d)))) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* b d) 3) (pow (* a c) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (+ (pow (* a c) 3) (pow (* b d) 3)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (+ (* c c) (* d d)) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c))))))) * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* b d) (* b d)) (* (* a c) (* a c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (* (+ (* b d) (* a c)) (- (* b d) (* a c))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (* (+ (* c c) (* d d)) (- (* b d) (* a c))))) * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* c c)) (exp (* d d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (+ (* b d) (* a c)) (log (exp (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow d 2) (pow c 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* d d) (* c c)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow c 2) (pow d 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow c 2) (pow d 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (+ (* b d) (* a c)) (+ (* c c) (* d d)))) * * * [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 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) d) into b * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in a * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in d * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) c) into a * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* (* a c) (/ 1 c)) into 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 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ d 0) into d * [misc]backup-simplify: Simplify (- (/ d (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow c 2))) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (/ 1 c)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (* a c) 0) (* 0 (/ 1 c))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [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 (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (/ 1 c))) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ 1 (pow c 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow c 4))) (pow 0 2) (+)) (* 2 (/ 1 c))) into (/ -1/2 (pow c 3)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* (* a c) (/ -1/2 (pow c 3))) (+ (* 0 0) (* 0 (/ 1 c)))) into (- (* 1/2 (/ a (pow c 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ a (pow c 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a (pow c 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ a (pow c 2)) 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 (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* a (* 1 1)))) into a * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* a c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (* a c)) 1) into (/ 1 (* a c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in a * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow c 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow c 2)) 1))) into (- (* 1/2 (/ 1 (pow c 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow c 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow c 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a c)) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow c 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow c 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 b)))))) into b * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* a c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [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 (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (* a c)) 1) into (/ 1 (* a c)) * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in a * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow c 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow c 2)) 1))) into (- (* 1/2 (/ 1 (pow c 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow c 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow c 2))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a c)) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow c 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow c 2)) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- b))))))) into (* -1 b) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) d) into b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (/ b d) into (/ b d) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in a * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt (+ (pow c 2) (pow d 2)))) into (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (* b d)) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* b d) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in d * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) c) into a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (/ a c) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* a c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* a c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (* a c) (+ (pow c 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ (* a c) (pow c 2)) into (/ a c) * [misc]taylor: Taking taylor expansion of (/ a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ d 0) into d * [misc]backup-simplify: Simplify (- (/ d (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]backup-simplify: Simplify (- (/ (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (/ d (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ d (+ (pow c 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 0 (pow c 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* d (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (/ (* a c) (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (/ d (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (pow c 2)) (+ (* (/ a c) (/ 1 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into (- (/ a (pow c 3))) * [misc]taylor: Taking taylor expansion of (- (/ a (pow c 3))) in a * [misc]taylor: Taking taylor expansion of (/ a (pow c 3)) 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 (pow c 3) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* c (pow c 2)) into (pow c 3) * [misc]backup-simplify: Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 c) (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* a c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]backup-simplify: Simplify (- (/ (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* c 1) into c * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in a * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow c 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 a) 1) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in d * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* a c)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]backup-simplify: Simplify (- (/ (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* c 1) into c * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow c 2)) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in c * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in a * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 1) (* 0 0)))) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow c 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (* (/ 1 (* a c)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (/ 1 (* a (* c (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))) (* 0 (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow c 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 8 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 9 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 10 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow c 6) (pow d 6))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) * * * * [misc]progress: [ 11 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow c 4) (pow d 4))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (fabs (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 22 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow c 6) (pow d 6))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 25 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow c 4) (pow d 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 28 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (+ (* a c) (* b d))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 31 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (* (/ (+ (* a c) (* b d)) (/ (+ (* d d) (* c c)) (+ (* a c) (* b d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (* (/ (+ (* a c) (* b d)) (/ (+ (* d d) (* c c)) (+ (* a c) (* b d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 34 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 39 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 40 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 41 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 42 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 43 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 44 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 45 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 46 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 47 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 48 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 49 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 50 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 51 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 52 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 53 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 54 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 55 / 274 ] 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 1) to (λ (a b c d) (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 56 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 60 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 61 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 62 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 63 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 64 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 65 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 66 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* b d) (* a c))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 67 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 69 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 70 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* b d) 3) (pow (* a c) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (+ (pow (* a c) 3) (pow (* b d) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (sqrt (+ (* c c) (* d d))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 71 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* b d) (* b d)) (* (* a c) (* a c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (* (+ (* b d) (* a c)) (- (* b d) (* a c))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (* (sqrt (+ (* c c) (* d d))) (- (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 72 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (+ (* b d) (* a c))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 74 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (+ (* a c) (* b d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 75 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (* (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))) (/ (+ (* a c) (* b d)) (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 78 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) 3))) * * * * [misc]progress: [ 79 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 84 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 85 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 86 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 87 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 88 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 89 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 90 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 91 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 92 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 93 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 94 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 95 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (+ (* a c) (* b d))))) (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 96 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 97 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 98 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 99 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 100 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (400 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 101 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 102 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 103 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 104 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 105 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 106 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 107 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 108 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 109 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 110 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 111 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 112 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 113 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 114 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 115 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 116 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 117 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 118 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 119 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 120 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 121 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 122 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 123 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 124 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 125 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 126 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 127 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 128 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 129 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 130 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 131 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 132 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 133 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 134 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 135 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 136 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 137 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 138 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 139 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 140 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 141 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 142 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 143 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 144 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 145 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 146 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 147 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 148 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 149 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 150 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 151 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 152 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 153 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 154 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 155 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 156 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* a c) (* b d))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 157 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 158 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 159 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 160 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 161 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 162 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 163 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 164 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 165 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 166 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 167 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 168 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 169 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 170 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 171 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 172 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 173 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 174 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 175 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 176 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 177 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 178 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 179 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 180 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 181 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 182 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 183 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 184 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 185 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 186 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 187 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 188 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 189 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 190 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 191 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 192 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 193 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 194 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 195 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 196 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 197 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 198 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 199 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 200 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 201 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 202 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 203 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 204 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 205 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 206 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 207 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 208 / 274 ] 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 c d) (* 1 (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 209 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 210 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 211 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 212 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (+ (* a c) (* b d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 213 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 214 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (+ (* a c) (* b d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 215 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 216 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 217 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 218 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 219 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 220 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 221 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ c d) (- c d))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (* (+ c d) (- c d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 222 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 223 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 224 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 225 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (* (+ c d) (- c d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 226 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 227 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 228 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 229 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 230 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 231 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 232 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 233 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt 1)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 234 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 235 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 236 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 237 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 238 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 239 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 240 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 241 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 242 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 243 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 244 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 245 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 246 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 247 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 248 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 249 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 250 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 251 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 252 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 253 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 254 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 255 / 274 ] 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 c d) (/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 256 / 274 ] simplifiying candidate # * * * * [misc]progress: [ 257 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b d) (* a c)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (* a c) (* b d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 258 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) * * * * [misc]progress: [ 259 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (+ (* a c) (* b d)) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 260 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))))) * * * * [misc]progress: [ 261 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (- (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d))))) * * * * [misc]progress: [ 262 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b d) (* a c)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (* a c) (* b d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (+ (* a c) (* b d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 263 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) d)) * * * * [misc]progress: [ 264 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) c)) * * * * [misc]progress: [ 265 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))) (- c))) * * * * [misc]progress: [ 266 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) d) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 267 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) c) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 268 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (+ (* b d) (* a c)) (- c)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 269 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying a * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to a * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 270 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying b * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to b * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 271 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- b) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 272 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 273 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * * [misc]progress: [ 274 / 274 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b c d) 0) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in (c d b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in a * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (* b d)) into (* (/ 1 (* d b)) (sqrt (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (* a c)) into (* (/ 1 (* a c)) (sqrt (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in d * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ c (* a c)) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ d (* b d)) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ d (* b d)) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- (/ 0 (* b d)) (+ (* (/ 1 b) (/ a (* b d))))) into (- (/ a (* (pow b 2) d))) * [misc]taylor: Taking taylor expansion of (- (/ a (* (pow b 2) d))) in d * [misc]taylor: Taking taylor expansion of (/ a (* (pow b 2) d)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (pow b 2) d) in d * [misc]taylor: Taking taylor expansion of (pow b 2) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (* 0 0)) into (pow b 2) * [misc]backup-simplify: Simplify (/ a (pow b 2)) into (/ a (pow b 2)) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ a (pow b 2)) (/ 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 d) (* b d)) (+ (* (/ 1 b) (/ 0 (* b d))) (* (- (/ a (* (pow b 2) d))) (/ a (* b d))))) into (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (* (pow b 3) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (pow a 2) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (pow b 3) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow b 3) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* b (pow b 2)) into (pow b 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow b 3) 1) into (pow b 3) * [misc]backup-simplify: Simplify (/ (pow a 2) (pow b 3)) into (/ (pow a 2) (pow b 3)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* b (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (* b (pow d 2)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (* b 1) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 (pow b 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 3) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 3) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 3)) (+ (* (/ (pow a 2) (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ 0 (pow b 3))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in (c d b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 c)) into (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 d)) into (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) * [misc]taylor: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (* b d)) in d * [misc]taylor: Taking taylor expansion of (pow a 2) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ (pow a 2) b) into (/ (pow a 2) b) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ a (pow d 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (pow a 3) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow b 2) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow b 2) 1) into (pow b 2) * [misc]backup-simplify: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in (c d b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 c)) into (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 d)) into (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) * [misc]taylor: Taking taylor expansion of (- (/ (pow a 2) (* b d))) in d * [misc]taylor: Taking taylor expansion of (/ (pow a 2) (* b d)) in d * [misc]taylor: Taking taylor expansion of (pow a 2) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ (pow a 2) b) into (/ (pow a 2) b) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ (pow a 2) b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) 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 (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a (pow d 2))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ a (pow d 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (/ a 1) into a * [misc]taylor: Taking taylor expansion of (/ (pow a 3) (* (pow b 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (pow a 3) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (pow b 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow b 2) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow b 2) 1) into (pow b 2) * [misc]backup-simplify: Simplify (/ (pow a 3) (pow b 2)) into (/ (pow a 3) (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow b 2)) (+ (* (/ (pow a 3) (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in (c d b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in a * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in a * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (* b d)) into (* (/ 1 (* d b)) (sqrt (+ (pow c 2) (pow d 2)))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (* d b)) (sqrt (+ (pow c 2) (pow d 2))))) into (* (* d b) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in b * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (* a c)) into (* (/ 1 (* a c)) (sqrt (+ (pow c 2) (pow d 2)))) * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (* a c)) (sqrt (+ (pow c 2) (pow d 2))))) into (* (* a c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in d * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in d * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ c (* a c)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in c * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ d (* b d)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) in c * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ d (* b d)) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into 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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- (/ 0 (* b d)) (+ (* (/ 1 b) (/ a (* b d))))) into (- (/ a (* (pow b 2) d))) * [misc]backup-simplify: Simplify (- (+ (* b (/ (- (/ a (* (pow b 2) d))) (/ 1 b))))) into (/ a d) * [misc]taylor: Taking taylor expansion of (/ a d) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ a 1) into a * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 1 in a * [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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 d) (* b d)) (+ (* (/ 1 b) (/ 0 (* b d))) (* (- (/ a (* (pow b 2) d))) (/ a (* b d))))) into (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) * [misc]backup-simplify: Simplify (- (+ (* b (/ (+ (/ (pow a 2) (* (pow b 3) (pow d 2))) (* 1/2 (/ 1 (* b (pow d 2))))) (/ 1 b))) (* (/ a d) (/ (- (/ a (* (pow b 2) d))) (/ 1 b))))) into (- (* 1/2 (/ b (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ b (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ b (pow d 2))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ b (pow d 2)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (/ b 1) into b * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* a (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* b (* 1 1)))) into b * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in (c d b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in a * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 c)) into (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (/ 1 (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in b * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 d)) into (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d)) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in d * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))))) in c * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [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 (* (/ 1 b) (/ 1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (/ (pow a 2) (* b d))) a)))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in d * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [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 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (/ 1 (* b d)) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (* 1/2 (/ 1 (* a (pow d 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* a (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* a (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* a (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (* a (pow d 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (* a 1) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (/ 1 (* b d)) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (* 1/2 (/ 1 (* a (pow d 2))))) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (* 1/2 (/ 1 (* b (pow d 3))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* b (pow d 3))))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 3)))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* b (pow d 3))) in d * [misc]taylor: Taking taylor expansion of (* b (pow d 3)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b 1) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (pow d 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow d 4)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow d 4)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ 0 (/ 1 a))) (* (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (/ (pow a 5) (* (pow b 4) (pow d 4))) (* 1/2 (/ (pow a 3) (* (pow b 2) (pow d 4))))) (* 1/8 (/ a (pow d 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (+ (/ (pow a 5) (* (pow b 4) (pow d 4))) (* 1/2 (/ (pow a 3) (* (pow b 2) (pow d 4))))) (* 1/8 (/ a (pow d 4)))) a)) (* (/ 1 (* b d)) (/ (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (- (* 1/2 (/ 1 (* a (pow d 2))))) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (* 1/2 (/ 1 (* b (pow d 3))))) (/ (- (/ (pow a 2) (* b d))) a)))) into (* 3/8 (/ 1 (* a (pow d 4)))) * [misc]taylor: Taking taylor expansion of (* 3/8 (/ 1 (* a (pow d 4)))) in d * [misc]taylor: Taking taylor expansion of 3/8 in d * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (/ 1 (* a (pow d 4))) in d * [misc]taylor: Taking taylor expansion of (* a (pow d 4)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 4) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* a 1) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 a)) (* 1 (* 1 1)))) into a * [misc]approximate: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in (c d b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in a * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 c)) into (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (/ 1 (* c (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in b * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (/ 1 d)) into (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d) * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) d)) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in d * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))))) in c * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [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 (* (/ -1 b) (/ -1 d)) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* b d)) 0) into (/ 1 (* b d)) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ (/ 1 (* b d)) (/ 1 a))))) into (- (/ (pow a 2) (* b d))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (/ (pow a 2) (* b d))) a)))) into (/ 1 (* b d)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b d)) in d * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 1) (* 0 0)) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [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 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) 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 (+ (* (/ -1 b) 0) (* 0 (/ -1 d))) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (pow d 2)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ (/ 1 (* b d)) (/ 1 a))))) into (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (/ 1 (* b d)) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (* 1/2 (/ 1 (* a (pow d 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* a (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* a (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* a (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (* a (pow d 2)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (* a 1) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) 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 (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 d)))) 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (/ 1 (* b d)) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (* 1/2 (/ 1 (* a (pow d 2))))) (/ (- (/ (pow a 2) (* b d))) a)))) into (- (* 1/2 (/ 1 (* b (pow d 3))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (* b (pow d 3))))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* b (pow d 3)))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* b (pow d 3))) in d * [misc]taylor: Taking taylor expansion of (* b (pow d 3)) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* b 1) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (pow d 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow d 4)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) 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 (+ (* (/ -1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow d 4)) (/ 1 a)) (+ (* a (/ 0 (/ 1 a))) (* (- (/ (pow a 2) (* b d))) (/ 0 (/ 1 a))) (* (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) (/ 0 (/ 1 a))) (* (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) (/ (/ 1 (* b d)) (/ 1 a))))) into (- (+ (/ (pow a 5) (* (pow b 4) (pow d 4))) (* 1/2 (/ (pow a 3) (* (pow b 2) (pow d 4))))) (* 1/8 (/ a (pow d 4)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ (- (+ (/ (pow a 5) (* (pow b 4) (pow d 4))) (* 1/2 (/ (pow a 3) (* (pow b 2) (pow d 4))))) (* 1/8 (/ a (pow d 4)))) a)) (* (/ 1 (* b d)) (/ (- (+ (* 1/2 (/ (pow a 2) (* b (pow d 3)))) (/ (pow a 4) (* (pow b 3) (pow d 3))))) a)) (* (- (* 1/2 (/ 1 (* a (pow d 2))))) (/ (+ (* 1/2 (/ a (pow d 2))) (/ (pow a 3) (* (pow b 2) (pow d 2)))) a)) (* (- (* 1/2 (/ 1 (* b (pow d 3))))) (/ (- (/ (pow a 2) (* b d))) a)))) into (* 3/8 (/ 1 (* a (pow d 4)))) * [misc]taylor: Taking taylor expansion of (* 3/8 (/ 1 (* a (pow d 4)))) in d * [misc]taylor: Taking taylor expansion of 3/8 in d * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (/ 1 (* a (pow d 4))) in d * [misc]taylor: Taking taylor expansion of (* a (pow d 4)) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow d 4) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* a 1) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 (- a))) (* 1 (* 1 1)))) into (* -1 a) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 8 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 9 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (* 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 10 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow c 6) (pow d 6))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) * * * * [misc]progress: [ 11 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow c 4) (pow d 4))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (fabs (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 22 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (* 1 (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow c 6) (pow d 6))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 25 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow c 4) (pow d 4))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ 1 (/ (fabs (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 28 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (exp (- (log (sqrt (+ (* c c) (* d d)))) (log (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 31 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (* c c) (* d d)) (+ (* c a) (* d b))) (+ (* c a) (* d b))) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (cbrt (* (/ (/ (+ (* c c) (* d d)) (+ (* c a) (* d b))) (+ (* c a) (* d b))) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* d b)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 34 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* c a) (* d b)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* c a) (* d b))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* c a) (* d b)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* c a) (* d b))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 39 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 40 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 41 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* c a) (* d b))) (cbrt (+ (* c a) (* d b))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* c a) (* d b))) (cbrt (+ (* c a) (* d b))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (* (cbrt (+ (* c a) (* d b))) (cbrt (+ (* c a) (* d b))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 42 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c a) (* d b)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 43 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 44 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 45 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 46 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 47 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (/ 1 (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (/ 1 (cbrt (+ (* a c) (* b d)))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 48 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* a c) (* b d)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 49 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 50 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 51 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 52 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 53 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* d b) (* a c))) (cbrt (+ (* d b) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 54 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (* d b) (* a c)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* d b) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ 1 (sqrt (+ (* b d) (* a c)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 55 / 122 ] 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 2 1) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 56 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* b d) (* a c))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c))))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 60 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* b d) (* a c))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 61 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b d) (* a c)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (* a c) (* b d)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (/ (/ (sqrt (+ (* c c) (* d d))) 1) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 62 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 63 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (fabs (cbrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 64 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 65 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ 1 (/ (+ (* b d) (* a c)) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 66 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 67 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (+ (* (* b d) (* b d)) (* (- (* a c) (* b d)) (* a c))) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* b d) 3) (pow (* a c) 3))) (+ (* (* b d) (* b d)) (* (- (* a c) (* b d)) (* a c))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 69 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b d) (* a c)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (- (* b d) (* a c)) * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (/ 1 (* (/ (sqrt (+ (* c c) (* d d))) (- (* (* b d) (* b d)) (* (* a c) (* a c)))) (- (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 70 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow c 6) (pow d 6))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (pow c 6) (pow d 6))) (* (+ (* b d) (* a c)) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 71 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow c 4) (pow d 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (sqrt (- (pow c 4) (pow d 4))) (* (+ (* b d) (* a c)) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 72 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (pow (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) -1) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 74 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 87 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 88 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 89 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 90 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 91 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 92 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 93 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 94 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 95 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 96 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 97 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 98 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 99 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt 1) 1)) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 100 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 101 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* a c) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 102 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 103 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ 1 (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 104 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ 1 (sqrt (+ (* b d) (* a c))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c a) (* b d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 105 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ 1 1)) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 106 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 1) (/ (sqrt (+ (* c c) (* d d))) (+ (* c a) (* b d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 107 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* b d) (* a c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* d b) (* a c))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (+ (* d b) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 108 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * * [misc]simplify: iters left: 1 (441 enodes) * [exit]simplify: Simplified to (+ (* (* b d) (* b d)) (* (- (* a c) (* b d)) (* a c))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (pow (* b d) 3) (pow (* a c) 3)))) (+ (* (* b d) (* b d)) (* (- (* a c) (* b d)) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 109 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b d) (* a c)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (- (* b d) (* a c)) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (- (* (* b d) (* b d)) (* (* a c) (* a c))))) (- (* b d) (* a c))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 110 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b d) (* a c)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (* a c) (* b d)) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (+ (* c c) (* d d)))) (+ (* a c) (* b d))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 111 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) d)) * * * * [misc]progress: [ 112 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) c)) * * * * [misc]progress: [ 113 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* b d) (* a c)))) (- c))) * * * * [misc]progress: [ 114 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ d (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 115 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ c (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 116 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ 1 (/ (- c) (+ (* b d) (* a c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 117 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 118 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 119 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ 1 0) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 120 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying b * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to b * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ b (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 121 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying a * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to a * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ a (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 122 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- a) (sqrt (+ (* c c) (* d d))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 c)))) into c * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in c * [misc]taylor: Taking taylor expansion of (* b d) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (sqrt d)) into (* b (sqrt d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in a * [misc]taylor: Taking taylor expansion of (* b d) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* b d) into (* b d) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* b d) 0) into (* b d) * [misc]backup-simplify: Simplify (/ (* b d) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (* (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4) (* b d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in d * [misc]taylor: Taking taylor expansion of (* b d) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt c) into (sqrt c) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt c))) into 0 * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (sqrt c)) into (* a (sqrt c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (* (* a c) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* b d) (* a c)) in b * [misc]taylor: Taking taylor expansion of (* b d) 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]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (* a c) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (+ 0 (* a c)) into (* a c) * [misc]backup-simplify: Simplify (/ (* a c) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (* (* a c) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (* a c) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (pow c 2) (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (pow c 2) (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of 1/4 in d * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (+ (pow c 2) (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow c 2))) into (log (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (pow c 2)))) into (* 1/4 (log (/ 1 (pow c 2)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (pow c 2))))) into (pow (/ 1 (pow c 2)) 1/4) * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (* (* a c) (pow (/ 1 (pow c 2)) 1/4)) into (* a (sqrt c)) * [misc]taylor: Taking taylor expansion of (* a (sqrt c)) 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 (sqrt c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (sqrt c) into (sqrt c) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt c))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt c)) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ d 0) into d * [misc]backup-simplify: Simplify (- (/ d (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (* (* a c) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) into (* d (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (* d (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (pow c 2) (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (pow c 2) (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of 1/4 in d * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (+ (pow c 2) (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow c 2))) into (log (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 (pow c 2)))) into (* 1/4 (log (/ 1 (pow c 2)))) * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 (pow c 2))))) into (pow (/ 1 (pow c 2)) 1/4) * [misc]backup-simplify: Simplify (* 0 (pow (/ 1 (pow c 2)) 1/4)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow c 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 (pow c 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* (* a c) 0) (* 0 (pow (/ 1 (pow c 2)) 1/4))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt c))) into (sqrt c) * [misc]taylor: Taking taylor expansion of (sqrt c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow c 2) (pow d 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (* (* a c) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))) (* (* d (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 b) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 b) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 a) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 b) (/ 1 d)) (* (/ 1 a) (/ 1 c))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 d)) 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]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 c)) 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 (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of 1/4 in d * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (* 1/4 (* 2 (log d))) into (* 1/2 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log d))) into (pow d 1/2) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (* (pow d 1/2) 1) into (sqrt d) * [misc]taylor: Taking taylor expansion of (sqrt d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* a c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of 1/4 in d * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (* 1/4 (* 2 (log d))) into (* 1/2 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log d))) into (pow d 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (* 2 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow d 1/2) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (sqrt d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (* a c)) (pow d 1/2)) into (* (/ 1 (* a c)) (sqrt d)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a c)) (sqrt d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in a * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 c) (sqrt d)) into (* (/ 1 c) (sqrt d)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (sqrt d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (sqrt d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt d)) into (sqrt d) * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow c 2)))) 1)) (pow 1 1)))) 2) into (/ -1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ -1 (pow c 2))) (+ (* 0 0) (* 0 (* 2 (log d))))) into (- (* 1/4 (/ 1 (pow c 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow c 2)))) 1) 1)))) into (* -1/4 (* (/ 1 (pow c 2)) (sqrt d))) * [misc]backup-simplify: Simplify (+ (* (pow d 1/2) 0) (+ (* 0 0) (* (* -1/4 (* (/ 1 (pow c 2)) (sqrt d))) 1))) into (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) in a * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (pow c 2)) (sqrt d))) in a * [misc]taylor: Taking taylor expansion of 1/4 in a * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (sqrt d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (sqrt d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (* 2 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a c)) 0) (* 0 (pow d 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 (pow c 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1 (pow c 2))) (+ (* 0 0) (* 0 (* 2 (log d)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/4 (/ 1 (pow c 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow d 1/2) 0) (+ (* 0 0) (+ (* (* -1/4 (* (/ 1 (pow c 2)) (sqrt d))) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (sqrt d))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (pow c 2)) (sqrt d)) into (* (/ 1 (pow c 2)) (sqrt d)) * [misc]backup-simplify: Simplify (* 1/4 (* (/ 1 (pow c 2)) (sqrt d))) into (* 1/4 (* (/ 1 (pow c 2)) (sqrt d))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) into (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) in c * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (pow c 2)) (sqrt d))) in c * [misc]taylor: Taking taylor expansion of 1/4 in c * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (sqrt d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt d)) into (sqrt d) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt d))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt d))) 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 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow c 2)))) 1)) (pow 1 1)))) 2) into (/ -1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ -1 (pow c 2))) (+ (* 0 0) (* 0 (* 2 (log d))))) into (- (* 1/4 (/ 1 (pow c 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow c 2)))) 1) 1)))) into (* -1/4 (* (/ 1 (pow c 2)) (sqrt d))) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a c)) (* -1/4 (* (/ 1 (pow c 2)) (sqrt d)))) (+ (* 0 0) (* 0 (pow d 1/2)))) into (- (* 1/4 (* (/ 1 (* a (pow c 3))) (sqrt d)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (/ 1 (* a (pow c 3))) (sqrt d)))) in a * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (* a (pow c 3))) (sqrt d))) in a * [misc]taylor: Taking taylor expansion of 1/4 in a * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a (pow c 3))) (sqrt d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a (pow c 3))) in a * [misc]taylor: Taking taylor expansion of (* a (pow c 3)) 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 (pow c 3) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* c (pow c 2)) into (pow c 3) * [misc]backup-simplify: Simplify (* 0 (pow c 3)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 (pow c 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow c 3))) into (pow c 3) * [misc]backup-simplify: Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3)) * [misc]taylor: Taking taylor expansion of (sqrt d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 (pow c 3)) (sqrt d)) into (* (/ 1 (pow c 3)) (sqrt d)) * [misc]backup-simplify: Simplify (* 1/4 (* (/ 1 (pow c 3)) (sqrt d))) into (* 1/4 (* (/ 1 (pow c 3)) (sqrt d))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (/ 1 (pow c 3)) (sqrt d)))) into (- (* 1/4 (* (/ 1 (pow c 3)) (sqrt d)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (/ 1 (pow c 3)) (sqrt d)))) in c * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (pow c 3)) (sqrt d))) in c * [misc]taylor: Taking taylor expansion of 1/4 in c * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 3)) (sqrt d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 3)) in c * [misc]taylor: Taking taylor expansion of (pow c 3) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt d)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt d)) into (sqrt d) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 d)) (* 1 (* 1 (* (/ 1 (/ 1 d)) (/ 1 (/ 1 b)))))) (* (sqrt (/ 1 d)) (* (/ 1 (/ 1 c)) (* (/ 1 (/ 1 a)) (* 1 1))))) into (+ (* b (sqrt d)) (* (* a c) (sqrt (/ 1 d)))) * [misc]approximate: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in (b d a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in c * [misc]taylor: Taking taylor expansion of (- b) in c * [misc]taylor: Taking taylor expansion of b in c * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [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 (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (/ 1 a) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ 0 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in d * [misc]taylor: Taking taylor expansion of (- b) in d * [misc]taylor: Taking taylor expansion of b in d * [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]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in d * [misc]taylor: Taking taylor expansion of (- a) in d * [misc]taylor: Taking taylor expansion of a in d * [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 (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- b)) (/ 1 (- d))) (* (/ 1 (- a)) (/ 1 (- c)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- d))) 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]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- c))) 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 (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (/ 1 d) 0) into (/ 1 d) * [misc]backup-simplify: Simplify (/ (/ 1 d) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of 1/4 in d * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (* 1/4 (* 2 (log d))) into (* 1/2 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log d))) into (pow d 1/2) * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [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 (* (pow d 1/2) 1) into (sqrt d) * [misc]taylor: Taking taylor expansion of (sqrt d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 c)) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* a c))) into (/ 1 (* a c)) * [misc]backup-simplify: Simplify (- (/ (/ 1 (* a c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) in d * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in d * [misc]taylor: Taking taylor expansion of (* a c) in d * [misc]taylor: Taking taylor expansion of a in d * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* a c) into (* a c) * [misc]backup-simplify: Simplify (/ 1 (* a c)) into (/ 1 (* a c)) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) in d * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) in d * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in d * [misc]taylor: Taking taylor expansion of 1/4 in d * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (log (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in d * [misc]taylor: Taking taylor expansion of (pow c 2) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (* 1/4 (* 2 (log d))) into (* 1/2 (log d)) * [misc]backup-simplify: Simplify (exp (* 1/2 (log d))) into (pow d 1/2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (* 2 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow d 1/2) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (sqrt d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (* a c)) (pow d 1/2)) into (* (/ 1 (* a c)) (sqrt d)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a c)) (sqrt d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a c)) in a * [misc]taylor: Taking taylor expansion of (* a c) 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 c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (sqrt d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 c) (sqrt d)) into (* (/ 1 c) (sqrt d)) * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (sqrt d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [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 (sqrt d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt d)) into (sqrt d) * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow c 2)))) 1)) (pow 1 1)))) 2) into (/ -1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ -1 (pow c 2))) (+ (* 0 0) (* 0 (* 2 (log d))))) into (- (* 1/4 (/ 1 (pow c 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow c 2)))) 1) 1)))) into (* -1/4 (* (/ 1 (pow c 2)) (sqrt d))) * [misc]backup-simplify: Simplify (+ (* (pow d 1/2) 0) (+ (* 0 0) (* (* -1/4 (* (/ 1 (pow c 2)) (sqrt d))) 1))) into (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) in a * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (pow c 2)) (sqrt d))) in a * [misc]taylor: Taking taylor expansion of 1/4 in a * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (sqrt d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in a * [misc]taylor: Taking taylor expansion of (pow c 2) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (/ 1 (pow c 2)) into (/ 1 (pow c 2)) * [misc]taylor: Taking taylor expansion of (sqrt d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (* 2 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a c)) 0) (* 0 (pow d 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [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 (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow c 2)) (/ 0 (pow c 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow c 2)) 1)) (* (- (/ 1 (pow c 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (/ 1 (pow c 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1 (pow c 2))) (+ (* 0 0) (* 0 (* 2 (log d)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/4 (/ 1 (pow c 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow d 1/2) 0) (+ (* 0 0) (+ (* (* -1/4 (* (/ 1 (pow c 2)) (sqrt d))) 0) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (sqrt d))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (pow c 2)) (sqrt d)) into (* (/ 1 (pow c 2)) (sqrt d)) * [misc]backup-simplify: Simplify (* 1/4 (* (/ 1 (pow c 2)) (sqrt d))) into (* 1/4 (* (/ 1 (pow c 2)) (sqrt d))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) into (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (/ 1 (pow c 2)) (sqrt d)))) in c * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (pow c 2)) (sqrt d))) in c * [misc]taylor: Taking taylor expansion of 1/4 in c * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 2)) (sqrt d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 2)) in c * [misc]taylor: Taking taylor expansion of (pow c 2) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt d)) into (sqrt d) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt d))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt d))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (* (/ 1 (* a c)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) 0) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow c 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow c 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- (/ 1 (pow c 2)))) 1)) (pow 1 1)))) 2) into (/ -1 (pow c 2)) * [misc]backup-simplify: Simplify (+ (* (- -2) (log d)) 0) into (* 2 (log d)) * [misc]backup-simplify: Simplify (+ (* 1/4 (/ -1 (pow c 2))) (+ (* 0 0) (* 0 (* 2 (log d))))) into (- (* 1/4 (/ 1 (pow c 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/4 (/ 1 (pow c 2)))) 1) 1)))) into (* -1/4 (* (/ 1 (pow c 2)) (sqrt d))) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a c)) (/ 0 (* a c))) (* 0 (/ 0 (* a c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a c)) (* -1/4 (* (/ 1 (pow c 2)) (sqrt d)))) (+ (* 0 0) (* 0 (pow d 1/2)))) into (- (* 1/4 (* (/ 1 (* a (pow c 3))) (sqrt d)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (/ 1 (* a (pow c 3))) (sqrt d)))) in a * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (* a (pow c 3))) (sqrt d))) in a * [misc]taylor: Taking taylor expansion of 1/4 in a * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a (pow c 3))) (sqrt d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a (pow c 3))) in a * [misc]taylor: Taking taylor expansion of (* a (pow c 3)) 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 (pow c 3) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* c (pow c 2)) into (pow c 3) * [misc]backup-simplify: Simplify (* 0 (pow c 3)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 (pow c 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow c 3))) into (pow c 3) * [misc]backup-simplify: Simplify (/ 1 (pow c 3)) into (/ 1 (pow c 3)) * [misc]taylor: Taking taylor expansion of (sqrt d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 (pow c 3)) (sqrt d)) into (* (/ 1 (pow c 3)) (sqrt d)) * [misc]backup-simplify: Simplify (* 1/4 (* (/ 1 (pow c 3)) (sqrt d))) into (* 1/4 (* (/ 1 (pow c 3)) (sqrt d))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (/ 1 (pow c 3)) (sqrt d)))) into (- (* 1/4 (* (/ 1 (pow c 3)) (sqrt d)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (/ 1 (pow c 3)) (sqrt d)))) in c * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (pow c 3)) (sqrt d))) in c * [misc]taylor: Taking taylor expansion of 1/4 in c * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow c 3)) (sqrt d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 (pow c 3)) in c * [misc]taylor: Taking taylor expansion of (pow c 3) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt d)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt d)) into (sqrt d) * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (- d))) (* 1 (* 1 (* (/ 1 (/ 1 (- d))) (/ 1 (/ 1 (- b))))))) (* (sqrt (/ 1 (- d))) (* (/ 1 (/ 1 (- c))) (* (/ 1 (/ 1 (- a))) (* 1 1))))) into (+ (* a (* (sqrt (/ -1 d)) c)) (* (sqrt (/ -1 d)) (* b d))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 8 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 9 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (* 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow c 6) (pow d 6))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) * * * * [misc]progress: [ 11 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow c 4) (pow d 4))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 22 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow c 6) (pow d 6))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 25 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow c 4) (pow d 4))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 36 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow c 6) (pow d 6))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 39 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (- (pow c 4) (pow d 4))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 40 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 42 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (* b d) (* a c))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (log (+ (* a c) (* b d))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (exp (- (log (+ (* a c) (* b d))) (log (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 45 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (* b d) (* a c)) (+ (* b d) (* a c))) (+ (* b d) (* a c))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (* a c) (* b d)) 3) (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (cbrt (/ (/ (pow (+ (* a c) (* b d)) 3) (sqrt (+ (* d d) (* c c)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 48 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (* (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 53 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 54 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 55 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 56 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 57 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 58 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 59 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 60 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (cbrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* b d) (* a c))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* a c) (* b d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 62 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* a c) (* b d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 63 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 64 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 65 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 66 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 67 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 68 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 69 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* b d) (* a c))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (sqrt (+ (* a c) (* b d))) (/ (sqrt (+ (* a c) (* b d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (+ (* a c) (* b d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 75 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 76 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (+ (* a c) (* b d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 78 / 109 ] 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 1 1) to (λ (a b c d) (/ (/ (* 1 (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* 1 (/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 79 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 83 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 84 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (/ (/ (+ (* b d) (* a c)) 1) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* b d) (* a c))) (cbrt (+ (* b d) (* a c)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (/ (* (cbrt (+ (* a c) (* b d))) (cbrt (+ (* a c) (* b d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (+ (* b d) (* a c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* b d) (* a c))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (+ (* a c) (* b d))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (/ (sqrt (+ (* a c) (* b d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* b d) (* a c))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a b c d) (/ (/ (* (/ (+ (* b d) (* a c)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (- (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 96 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (* b d) 3) (pow (* a c) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (+ (pow (* a c) 3) (pow (* b d) 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (/ (+ (pow (* a c) 3) (pow (* b d) 3)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (+ (* (* b d) (* b d)) (- (* (* a c) (* a c)) (* (* b d) (* a c)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* b d) (* b d)) (* (* a c) (* a c))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (339 enodes) * [exit]simplify: Simplified to (* (+ (* b d) (* a c)) (- (* b d) (* a c))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b c d) (/ (/ (/ (* (+ (* b d) (* a c)) (- (* b d) (* a c))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b d) (* a c)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 98 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) d)) * * * * [misc]progress: [ 99 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) c)) * * * * [misc]progress: [ 100 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (- c))) * * * * [misc]progress: [ 101 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt d)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 102 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt c)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 103 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- c))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 104 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (+ (* b d) (* a c)) (sqrt (- c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 107 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ 0 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 108 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b (sqrt d)) (* (* a c) (sqrt (/ 1 d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (* (sqrt (/ 1 d)) (* a c)) (* b (sqrt d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (+ (* (sqrt (/ 1 d)) (* a c)) (* b (sqrt d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 109 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a (* (sqrt (/ -1 d)) c)) (* (sqrt (/ -1 d)) (* b d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (* (sqrt (/ -1 d)) (+ (* c a) (* d b))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (sqrt (/ -1 d)) (+ (* c a) (* d b))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) * * * [misc]regime-changes: Trying 4 branch expressions: (d b c a) * * * * [misc]regimes: Trying to branch on d from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on c from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # # #) * * * [misc]regime: Found split indices: #