* [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 13 additional inputs, on iter 1 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* 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 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in d * [misc]taylor: Taking taylor expansion of (* b c) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [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]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 c) into (* b c) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b 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 (/ (* b c) (pow c 2)) into (/ b c) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in a * [misc]taylor: Taking taylor expansion of (* b c) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [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 c) into (* b c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b 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 (/ (* b c) (+ (pow c 2) (pow d 2))) into (/ (* b c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in c * [misc]taylor: Taking taylor expansion of (* b c) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [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 (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [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 (* b 0) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a 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 (/ (- (* a d)) (pow d 2)) into (* -1 (/ a d)) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [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 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a 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 (/ (- (* a d)) (+ (pow c 2) (pow d 2))) into (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [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 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a 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 (/ (- (* a d)) (+ (pow c 2) (pow d 2))) into (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (* a d) (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [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 (/ (* a d) (pow d 2)) into (/ a d) * [misc]backup-simplify: Simplify (* -1 (/ a d)) into (* -1 (/ a d)) * [misc]taylor: Taking taylor expansion of (* -1 (/ a d)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [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 (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) 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 (pow d 2)) (+ (* (/ a d) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ a d))) 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ 1 d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ -1 d) in d * [misc]taylor: Taking taylor expansion of -1 in d * [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 (/ -1 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) 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 (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- 0) 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))) (+ (* (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) 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 a * [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]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 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 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 d))) into 0 * [misc]backup-simplify: Simplify (* 1 1) 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 (- (/ 0 (pow d 2)) (+ (* (/ a d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ a (pow d 3))) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ a (pow d 3)))) (+ (* 0 0) (* 0 (/ a d)))) into (/ a (pow d 3)) * [misc]taylor: Taking taylor expansion of (/ a (pow d 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 d 3) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* d (pow d 2)) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [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 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 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 into 0 * [misc]approximate: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 a)) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (/ 1 a)) 1) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 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 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 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 (/ (- (/ 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 c)) (* (/ 1 a) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 c)) (* (/ 1 a) (/ 1 d))) (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 0) 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 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [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 d))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 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 d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) 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))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 0 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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 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 c * [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 (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (+ (* 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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 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 d * [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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 a)) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (/ 1 a)) 1) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (- 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 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 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 (/ (- (/ 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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (- 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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (- 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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 0) 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 (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [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 d))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 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 d * [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 (- 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 (- 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 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 0 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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (- 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 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 (- 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 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 c * [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 (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (+ (* 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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 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 d * [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 1) * [misc]approximate: Taking taylor expansion of (- (* b c) (* a d)) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in d * [misc]taylor: Taking taylor expansion of (* b c) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [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]taylor: Taking taylor expansion of (- (* b c) (* a d)) in a * [misc]taylor: Taking taylor expansion of (* b c) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in c * [misc]taylor: Taking taylor expansion of (* b c) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [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 (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]taylor: Taking taylor expansion of (- (* a d)) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]taylor: Taking taylor expansion of (- (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [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 (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ c 0) into 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 0 in a * [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 (+ (* a 0) (* 0 d)) 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]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 d)) into d * [misc]backup-simplify: Simplify (- d) into (- 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 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 (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 d * [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 c)) (* (/ 1 a) (/ 1 d))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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]taylor: Taking taylor expansion of 0 in d * [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 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 d * [misc]backup-simplify: Simplify 0 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 d * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 (/ 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 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) 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 d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))) (* 0 (/ 0 (* a d))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 0 in d * [misc]backup-simplify: Simplify 0 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 d * [misc]backup-simplify: Simplify 0 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 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 (* 1 (* 1 (* (/ 1 (/ 1 c)) (/ 1 (/ 1 b)))))) (* -1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 a)) (* 1 1))))) into (- (* b c) (* a d)) * [misc]approximate: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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]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 (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 d * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 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 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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]taylor: Taking taylor expansion of 0 in d * [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 1 into 1 * [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 (- 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 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 (- 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (+ (* 1 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 d * [misc]backup-simplify: Simplify 0 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 d * [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 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 (- 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 (- 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 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 (- 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 d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))) (* 0 (/ 0 (* a d))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 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 0 in d * [misc]backup-simplify: Simplify 0 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 d * [misc]backup-simplify: Simplify 0 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 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 (* 1 (* 1 (* (/ 1 (/ 1 (- c))) (/ 1 (/ 1 (- b))))))) (* -1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- a))) (* 1 1))))) into (- (* b c) (* a d)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* b c) (* a d))) (log (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a d))) (log (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (- (* b c) (* a d))) (log (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (+ (* c c) (* d d)) (+ (* c c) (* d d))) (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (pow (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) 3))) * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* b c) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (* b c) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) (cbrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 17 / 50 ] 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 c) (* a d)) (cbrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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))))) (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 18 / 50 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 19 / 50 ] 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 c) (* a d)) (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 50 ] 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 c) (* a d)) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (cbrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 50 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 25 / 50 ] 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 c) (* a d)) 1) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (+ (* c c) (* d d)) (cbrt (- (* b c) (* a d)))))) * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* b c) (* a d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (- (* b c) (* a d))) (/ (+ (* c c) (* d d)) (sqrt (- (* b c) (* a d)))))) * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 50 ] 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 c) (* a d)) (+ (pow (* c c) 3) (pow (* d d) 3))) (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c))))) * * * * [misc]progress: [ 30 / 50 ] 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 c) (* a d)) (- (* (* c c) (* c c)) (* (* d d) (* d d)))) (* (+ c d) (- c d)))) * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* b c) 3) (pow (* a d) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (- (pow (* b c) 3) (pow (* a d) 3)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (pow (* b c) 3) (pow (* a d) 3)) (* (+ (* c c) (* d d)) (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))))) * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* b c) (* b c)) (* (* a d) (* a d))) * * [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 c) (* a d)) (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (+ (* b c) (* a d)) (- (* b c) (* a d))) (* (+ (* c c) (* d d)) (+ (* b c) (* a d))))) * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* b c)) (exp (* a d))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (exp (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (log (exp (- (* b c) (* a d)))) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 50 ] 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 / 50 ] 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: [ 47 / 50 ] 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: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ 0 (+ (* c c) (* d d)))) * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b c) (* a d)) * * [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 c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b c) (* a d)) * * [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 c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (+ (* 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in d * [misc]taylor: Taking taylor expansion of (* b c) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [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]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 c) into (* b c) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b c) * [misc]backup-simplify: Simplify (/ (* b c) c) into b * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in a * [misc]taylor: Taking taylor expansion of (* b c) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into 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 (* b c) into (* b c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b c) * [misc]backup-simplify: Simplify (/ (* b c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* b c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in c * [misc]taylor: Taking taylor expansion of (* b c) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [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 (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 0) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) d) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [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 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) (sqrt (+ (pow c 2) (pow d 2)))) into (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [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 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) (sqrt (+ (pow c 2) (pow d 2)))) into (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (* (* a d) (/ 1 d)) into a * [misc]backup-simplify: Simplify (* -1 a) into (* -1 a) * [misc]taylor: Taking taylor expansion of (* -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [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 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 c)) into c * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (- (/ c (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (/ 1 d)) 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* (* a d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 a)) 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 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 (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- 0) 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)))) (+ (* (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* c (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 c * [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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (/ 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]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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) 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 d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* (* a d) (/ -1/2 (pow d 3))) (+ (* 0 0) (* 0 (/ 1 d)))) into (- (* 1/2 (/ a (pow d 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 1/2 (/ a (pow d 2))))) (+ (* 0 0) (* 0 a))) into (* 1/2 (/ a (pow d 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a (pow d 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 d 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 d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 0) (+ (* 0 1) (* 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 (* 1 (* a (* 1 1)))) into (* -1 a) * [misc]approximate: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 a)) 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 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 d))) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (/ (- (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* -1 (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 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 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (* a d))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (* (/ 1 (* a d)) (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 c * [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 d)) 1) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 (/ 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 (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 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 d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (* (/ 1 (* a d)) (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 c * [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 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a d)) 0) (* 0 1)) 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 (- (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 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 d * [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 (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [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 (* 1 (* 1 (* 1 (/ 1 (/ 1 b)))))) into b * [misc]approximate: Taking taylor expansion of (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 a)) 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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 d))) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (/ (- (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* -1 (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 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 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 (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (* a d))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 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 (- 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 (- 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 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (* (/ 1 (* a d)) (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 c * [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 d)) 1) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 (/ 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 (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 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 d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (- 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 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 (- 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (* (/ 1 (* a d)) (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 c * [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 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a d)) 0) (* 0 1)) 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 (- (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 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 d * [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 (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [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 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- b))))))) into (* -1 b) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in d * [misc]taylor: Taking taylor expansion of (* b c) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [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]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 c) into (* b c) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b c) * [misc]backup-simplify: Simplify (/ (* b c) c) into b * [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 c) into (/ b c) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in a * [misc]taylor: Taking taylor expansion of (* b c) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into 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 (* b c) into (* b c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b c) * [misc]backup-simplify: Simplify (/ (* b c) (sqrt (+ (pow c 2) (pow d 2)))) into (* (* b c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [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 c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* b c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in c * [misc]taylor: Taking taylor expansion of (* b c) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [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 (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 0) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) d) into (* -1 a) * [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 (/ (* -1 a) d) into (* -1 (/ a d)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [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 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) (sqrt (+ (pow c 2) (pow d 2)))) into (* -1 (* (* a d) (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 (/ (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (sqrt (+ (pow c 2) (pow d 2)))) into (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [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 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) (sqrt (+ (pow c 2) (pow d 2)))) into (* -1 (* (* a d) (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 (/ (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (sqrt (+ (pow c 2) (pow d 2)))) into (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (* a d) (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [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 (/ (* a d) (pow d 2)) into (/ a d) * [misc]backup-simplify: Simplify (* -1 (/ a d)) into (* -1 (/ a d)) * [misc]taylor: Taking taylor expansion of (* -1 (/ a d)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (- (/ c (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]backup-simplify: Simplify (- (/ (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (/ c (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) 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 (pow d 2)) (+ (* (/ a d) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ a d))) 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ 1 d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ -1 d) in d * [misc]taylor: Taking taylor expansion of -1 in d * [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 (/ -1 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) 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 (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- 0) 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)))) (+ (* (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (* c (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)))) (+ (* (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) 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 a * [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]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 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 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 d))) into 0 * [misc]backup-simplify: Simplify (* 1 1) 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 (- (/ 0 (pow d 2)) (+ (* (/ a d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ a (pow d 3))) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ a (pow d 3)))) (+ (* 0 0) (* 0 (/ a d)))) into (/ a (pow d 3)) * [misc]taylor: Taking taylor expansion of (/ a (pow d 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 d 3) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* d (pow d 2)) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [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 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 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 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (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 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 a)) 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 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 a) 1) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (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 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 d))) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (/ (- (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* -1 (* (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 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 (* (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 c)) (* (/ 1 a) (/ 1 d))) (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 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 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 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 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (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 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 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 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 c)) (* (/ 1 a) (/ 1 d))) (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 c)) (* (/ 1 a) (/ 1 d))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 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 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 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 0) 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 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (* a d))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) * [misc]backup-simplify: Simplify (- (/ (- (* (/ 1 (* a d)) (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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 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 d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (* (/ 1 (* a d)) (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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 0 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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (* (/ 1 (* a d)) (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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 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 c * [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 (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (+ (* 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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 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 d * [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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 a)) 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 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 a) 1) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 d))) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (/ (- (/ 1 d)) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (* -1 (* (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 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 (* (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 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 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 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 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 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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) 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 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 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 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 0) 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 (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (* a d))) (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) * [misc]backup-simplify: Simplify (- (/ (- (* (/ 1 (* a d)) (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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 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 d * [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 (- 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 (- 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 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (* (/ 1 (* a d)) (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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 0 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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (- 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 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 (- 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (* (/ 1 (* a d)) (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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 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 c * [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 (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (+ (* 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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 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 d * [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 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 8 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 9 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (* 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 10 / 276 ] 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 c) (* a d)) (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 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (fabs (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 276 ] 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 c) (* a d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 22 / 276 ] 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 c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 276 ] 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 c) (* a d)) (* 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 276 ] 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 c) (* a d)) (/ (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 / 276 ] 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 c) (* a d)) (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 276 ] 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 c) (* a d)) (fabs (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 28 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* b c) (* a d))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a d))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (- (* b c) (* a d))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 31 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (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 (30 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (286 enodes) * [exit]simplify: Simplified to (* (* (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d))) (/ (- (* b c) (* a d)) (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (* (* (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d))) (/ (- (* b c) (* a d)) (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 34 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* b c) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* b c) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (- (/ (* b c) (sqrt (+ (* c c) (* d d)))) (/ (* a d) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 39 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 40 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 41 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 42 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 43 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 44 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 45 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 46 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 47 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 48 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 49 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 50 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 51 / 276 ] 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 c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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)))))) (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 52 / 276 ] 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 c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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))))) (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 53 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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))))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 54 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 55 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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))))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 56 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* 1 (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 57 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 276 ] 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 c) (* a d)) (* (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: [ 61 / 276 ] 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 c) (* a d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 62 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 63 / 276 ] 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 c) (* a d)) (sqrt 1)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 64 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 65 / 276 ] 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 c) (* a d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 66 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (- (* b c) (* a d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 67 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* b c) (* a d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* b c) (* a d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 68 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 276 ] 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 c) (* a d)) (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: [ 70 / 276 ] 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 c) (* a d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 71 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* b c) 3) (pow (* a d) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (- (pow (* b c) 3) (pow (* a d) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (- (pow (* b c) 3) (pow (* a d) 3)) (* (sqrt (+ (* c c) (* d d))) (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 72 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* b c) (* b c)) (* (* a d) (* a d))) * * [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 c) (* a d)) (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (+ (* b c) (* a d)) (- (* b c) (* a d))) (* (sqrt (+ (* c c) (* d d))) (+ (* b c) (* a d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 73 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (* b c) (* a d))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (- (log (- (* b c) (* a 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 (- (* b c) (* a d))) (log (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 75 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (- (log (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 76 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a 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)))) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * [exit]simplify: Simplified to (* (* (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c)))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (* (* (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c)))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 79 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a 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 (40 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (483 enodes) * [exit]simplify: Simplified to (pow (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) 3))) * * * * [misc]progress: [ 80 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* b c) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (* b c) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (- (/ (* b c) (+ (* c c) (* d d))) (/ (/ (* a d) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 85 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (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 (57 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 86 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (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 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 87 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 88 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 89 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 90 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 91 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (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 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a 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 (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 92 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (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 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 93 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 94 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 95 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 96 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 97 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (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 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 98 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (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 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 99 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (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 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 100 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (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 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 101 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (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 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 102 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (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 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 103 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* 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 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (cbrt (sqrt (+ (* d d) (* c c))))) (* (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 104 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 105 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 106 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 107 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 108 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 109 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 110 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 111 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 112 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 113 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 114 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 115 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 116 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 117 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 118 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 119 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 120 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 121 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 122 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (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 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 123 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 124 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 125 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* d d) (* c c))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 126 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 127 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 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 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 128 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 129 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 130 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 131 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 132 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 133 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (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 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 134 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 135 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (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 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 136 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 137 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (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 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 138 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (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 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 139 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* 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 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 140 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 141 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 142 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 143 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 144 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 145 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 146 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 147 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 148 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 149 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 150 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 151 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 152 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 153 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 154 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 155 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 156 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 157 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 158 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (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 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 159 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 160 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 161 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 162 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 163 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 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 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 164 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 165 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 166 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 167 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 168 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 169 / 276 ] 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 c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a 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 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 170 / 276 ] 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 c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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)))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 171 / 276 ] 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 c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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))))) (/ (- (* b c) (* a d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 172 / 276 ] 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 c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 173 / 276 ] 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 c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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))))) (/ (- (* b c) (* a d)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 174 / 276 ] 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 c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 175 / 276 ] 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 c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* 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 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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)))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 176 / 276 ] 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 c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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))))) (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 177 / 276 ] 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 c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 178 / 276 ] 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 c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 179 / 276 ] 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 c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 180 / 276 ] 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 c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 181 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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)))))) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 182 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 183 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 184 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 185 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 186 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 187 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 188 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 189 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 190 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 191 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 192 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 193 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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)))))) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 194 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (265 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 195 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 196 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 197 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 198 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 199 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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)))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 200 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 201 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 202 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 203 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 204 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 205 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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)))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 206 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 207 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 208 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 209 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 210 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 211 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a 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 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (- (* b c) (* a 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 c) (* a 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))))))) * * * * [misc]progress: [ 212 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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) (* (/ (- (* b c) (* a d)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 213 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 214 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (* b c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (- (* b c) (* a 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) (* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 215 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 216 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (- (* b c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (- (* b c) (* a 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) (* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 217 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (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 (43 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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: [ 218 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (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 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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: [ 219 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (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 (40 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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) (* (/ (- (* b c) (* a 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 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (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 (40 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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: [ 222 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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) (* (/ (- (* b c) (* a 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: [ 223 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (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 (43 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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: [ 224 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (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 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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: [ 225 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (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 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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) (* (/ (- (* b c) (* a d)) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 227 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (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 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (365 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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) (* (/ (/ (- (* b c) (* a 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: [ 228 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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) (* (/ (- (* b c) (* a d)) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (- (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 229 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 230 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 231 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 232 / 276 ] 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 c) (* a d)) (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: [ 233 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 234 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 235 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt 1)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 236 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 237 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 238 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 239 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 240 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 241 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 242 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 243 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 244 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 245 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (+ (* c c) (* d d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 246 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 247 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 248 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 249 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 250 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 251 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 252 / 276 ] 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 c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 253 / 276 ] 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 c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 254 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 255 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 256 / 276 ] 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 257 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 258 / 276 ] simplifiying candidate # * * * * [misc]progress: [ 259 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b c) (* a d)) * * [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 c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 260 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (- (* b c) (* a 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: [ 261 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 262 / 276 ] 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 c) (* a d)) (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: [ 263 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d))))) * * * * [misc]progress: [ 264 / 276 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b c) (* a d)) * * [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 c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 265 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) d)) * * * * [misc]progress: [ 266 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) c)) * * * * [misc]progress: [ 267 / 276 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (- c))) * * * * [misc]progress: [ 268 / 276 ] 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 c) (* a d)) d) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 269 / 276 ] 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 c) (* a d)) c) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 270 / 276 ] 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 c) (* a d)) (- c)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 271 / 276 ] 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: [ 272 / 276 ] 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: [ 273 / 276 ] 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: [ 274 / 276 ] 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: [ 275 / 276 ] 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: [ 276 / 276 ] 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 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 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in d * [misc]taylor: Taking taylor expansion of (* b c) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in a * [misc]taylor: Taking taylor expansion of (* b c) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in c * [misc]taylor: Taking taylor expansion of (* b c) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [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 (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (* (- (* a d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (* (* a d) (/ 1 d)) into a * [misc]backup-simplify: Simplify (* -1 a) into (* -1 a) * [misc]taylor: Taking taylor expansion of (* -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [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 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 (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (+ (* (- (* a d)) 0) (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* c (sqrt (/ 1 (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow d 2))) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (* 0 (/ 1 d)) 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* (* a d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 a)) 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 1) (* 0 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 (+ (* 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 (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* 0 (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* a d)) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))))) 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 a * [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 (+ (* 0 0) (* 1 (/ 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]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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) 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 d 2)) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ 1 (pow d 4))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (pow d 4))) (pow 0 2) (+)) (* 2 (/ 1 d))) into (/ -1/2 (pow d 3)) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ (* (* a d) (/ -1/2 (pow d 3))) (+ (* 0 0) (* 0 (/ 1 d)))) into (- (* 1/2 (/ a (pow d 2)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (* 1/2 (/ a (pow d 2))))) (+ (* 0 0) (* 0 a))) into (* 1/2 (/ a (pow d 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a (pow d 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 d 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 d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 0) (+ (* 0 1) (* 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 (* 1 (* a (* 1 1)))) into (* -1 a) * [misc]approximate: Taking taylor expansion of (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 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 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* (- (/ 1 (* a d))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* (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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* (- (/ 1 (* a d))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (* a d)) 1) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 (/ 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 (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 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 d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (- (+ (* (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)))))) (* 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* (- (/ 1 (* a d))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) 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 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 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a d)) 0) (* 0 1)) 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 (- (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 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 d * [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 (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [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 (* 1 (* 1 (* 1 (/ 1 (/ 1 b)))))) into b * [misc]approximate: Taking taylor expansion of (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]taylor: Taking taylor expansion of (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 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 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 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 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (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 (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* (- (/ 1 (* a d))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 1 0) 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 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 (- 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 (- (+ (* (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 (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* (- (/ 1 (* a d))) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (* a d)) 1) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 (/ 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 (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) 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 0) (+ (* 0 0) (* (/ -1/2 (pow d 2)) 1))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 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 d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (- (+ (* (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)))))) (* 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 (- 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 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 (- 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* (- (/ 1 (* a d))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) 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 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 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* a d)) 0) (* 0 1)) 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 (- (+ (* 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 2))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow d 2)))))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow d 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 d * [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 (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [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 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- b))))))) into (* -1 b) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in d * [misc]taylor: Taking taylor expansion of (* b c) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 c) into (/ 1 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 c) into (* b c) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b c) * [misc]backup-simplify: Simplify (* (* b c) (/ 1 c)) into b * [misc]backup-simplify: Simplify (/ b c) into (/ b c) * [misc]taylor: Taking taylor expansion of (/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in a * [misc]taylor: Taking taylor expansion of (* b c) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) * [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 c) into (* b c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b c) * [misc]backup-simplify: Simplify (* (* b c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* (* b c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]backup-simplify: Simplify (/ (* (* b c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) into (/ (* b c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in c * [misc]taylor: Taking taylor expansion of (* b c) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [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 (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 d) into (/ 1 d) * [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 0) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (* (- (* a d)) (/ 1 d)) into (* -1 a) * [misc]backup-simplify: Simplify (/ (* -1 a) d) into (* -1 (/ a d)) * [misc]taylor: Taking taylor expansion of (/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (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 (* 0 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (* (- (* a d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) * [misc]backup-simplify: Simplify (/ (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (sqrt (+ (pow c 2) (pow d 2)))) into (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (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 (* 0 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (* (- (* a d)) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) * [misc]backup-simplify: Simplify (/ (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (sqrt (+ (pow c 2) (pow d 2)))) into (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (* a d) (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [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 (/ (* a d) (pow d 2)) into (/ a d) * [misc]backup-simplify: Simplify (* -1 (/ a d)) into (* -1 (/ a d)) * [misc]taylor: Taking taylor expansion of (* -1 (/ a d)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (+ (* (- (* a d)) 0) (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) into (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]backup-simplify: Simplify (- (/ (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (sqrt (+ (pow c 2) (pow d 2)))) (+ (* (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into (/ c (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) 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 (pow d 2)) (+ (* (/ a d) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ a d))) 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ 1 d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ -1 d) in d * [misc]taylor: Taking taylor expansion of -1 in d * [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 (/ -1 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (+ (* 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 (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* 0 (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* a d)) 0) (+ (* c 0) (* 0 (sqrt (/ 1 (+ (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)))) (+ (* (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) 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 a * [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]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 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 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 d))) into 0 * [misc]backup-simplify: Simplify (* 1 1) 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 (- (/ 0 (pow d 2)) (+ (* (/ a d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ a (pow d 3))) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ a (pow d 3)))) (+ (* 0 0) (* 0 (/ a d)))) into (/ a (pow d 3)) * [misc]taylor: Taking taylor expansion of (/ a (pow d 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 d 3) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* d (pow d 2)) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [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 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 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 into 0 * [misc]approximate: Taking taylor expansion of (/ (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (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 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 1) into 1 * [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 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (* (- (/ 1 a)) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (/ -1 a) 1) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (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 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [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 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 d))) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (* (- (/ 1 d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* -1 (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))) * [misc]backup-simplify: Simplify (/ (* -1 (* (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 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (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 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 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 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]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (* (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (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 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [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 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (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 c)) (* (/ 1 a) (/ 1 d))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [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 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 0) 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 (- (+ (* (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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* (- (/ 1 (* a d))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) * [misc]backup-simplify: Simplify (- (/ (- (* (/ 1 (* a d)) (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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 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 d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 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 (- (+ (* (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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* (- (/ 1 (* a d))) 0) (* 0 (sqrt (/ 1 (+ (/ 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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 0 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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (- (+ (* (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)))))) (* 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 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 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* (- (/ 1 (* a d))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 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 c * [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 (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (+ (* 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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 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 d * [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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 1) into 1 * [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 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (* (- (/ 1 a)) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (/ -1 a) 1) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [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 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 d))) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (* (- (/ 1 d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* -1 (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 d))) * [misc]backup-simplify: Simplify (/ (* -1 (* (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 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 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]backup-simplify: Simplify (/ (/ 1 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (* (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [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 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (* (/ 1 c) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) * [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 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 0) 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 (- (+ (* (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 (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* (- (/ 1 (* a d))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) * [misc]backup-simplify: Simplify (- (/ (- (* (/ 1 (* a d)) (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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 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 d * [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 (- 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 (- (+ (* (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 (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) 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 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* (- (/ 1 (* a d))) 0) (* 0 (sqrt (/ 1 (+ (/ 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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 0 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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (- (+ (* (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)))))) (* 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 (- 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 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 (- 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* (- (/ 1 (* a d))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 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))) c)) (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 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 c * [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 (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (+ (* 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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 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 d * [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 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 8 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 9 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 10 / 103 ] 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 c) (* a d)) (/ 1 (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 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 103 ] 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 2 1) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 22 / 103 ] 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 2 1) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 103 ] 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 2 1) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 (* 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 103 ] 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 2 1) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 (/ (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 / 103 ] 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 2 1) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 103 ] 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 2 1) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 28 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (pow (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) 1) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 30 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (* b c) (* a d))) (- (log (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a d))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (- (* b c) (* a d))) (log (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 32 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (* b c) (* a d))) (log (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a d))) (log (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (exp (- (log (- (* b c) (* a d))) (log (sqrt (+ (* d d) (* c c)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 33 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (/ (pow (- (* b c) (* a d)) 3) (pow (sqrt (+ (* d d) (* c c))) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (/ (pow (- (* b c) (* a d)) 3) (pow (sqrt (+ (* d d) (* c c))) 3))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 36 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (* b c) 3) (pow (* a d) 3)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (- (pow (* b c) 3) (pow (* a d) 3)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (- (pow (* b c) 3) (pow (* a d) 3)) (* (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d)))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (* (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* d d) (* c c))) (+ (* (* b c) (* b c)) (* (* a d) (+ (* b c) (* a d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (- (pow (* b c) 3) (pow (* a d) 3)) (* (sqrt (+ (* d d) (* c c))) (+ (* (* b c) (* b c)) (* (* a d) (+ (* b c) (* a d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 40 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* b c) (* b c)) (* (* a d) (* a d))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (463 enodes) * [exit]simplify: Simplified to (* (- (* b c) (* a d)) (+ (* b c) (* a d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (- (* b c) (* a d)) (+ (* b c) (* a d))) (* (+ (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (* (+ (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* c c) (* d d))) (+ (* a d) (* b c))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (* (- (* b c) (* a d)) (+ (* b c) (* a d))) (* (sqrt (+ (* c c) (* d d))) (+ (* a d) (* b c)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 41 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 103 ] 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 43 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (- (* b c) (* a d)) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 44 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (- (* b c) (* a d)) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 45 / 103 ] 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 2) to (λ (a b c d) (/ (* (* (- (* b c) (* a d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 46 / 103 ] 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 2) to (λ (a b c d) (/ (* (* (- (* b c) (* a d)) 1) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 47 / 103 ] 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 c) (* a d)) (/ 1 (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: [ 48 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (- (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 49 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (- (* b c) (* a d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 50 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* b c) (* a d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (sqrt (- (* b c) (* a d))) (* (sqrt (- (* b c) (* a d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 51 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 103 ] 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 c) (* a d)) 1) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 53 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (* b c) 3) (pow (* a d) 3)) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (/ (- (pow (* b c) 3) (pow (* a d) 3)) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (- (pow (* b c) 3) (pow (* a d) 3)) (sqrt (+ (* d d) (* c c)))) (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 54 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* b c) (* b c)) (* (* a d) (* a d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (+ (* b c) (* a d)) (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (* (+ (* b c) (* a d)) (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) (+ (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 55 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (* b c) (* a d))) (- (log (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a 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 (- (* b c) (* a d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 58 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (- (* b c) (* a d))) (log (/ 1 (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a d))) (+ (log (sqrt (+ (* d d) (* c c)))) (log (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (- (* b c) (* a d))) (+ (log (sqrt (+ (* d d) (* c c)))) (log (sqrt (+ (* d d) (* c c)))))))) * * * * [misc]progress: [ 59 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (log (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (- (log (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (log (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 60 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (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 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (* (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (* (- (* b c) (* a d)) (- (* b c) (* a d))) (* (+ (* d d) (* c c)) (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (* (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (* (- (* b c) (* a d)) (- (* b c) (* a d))) (* (+ (* d d) (* c c)) (+ (* d d) (* c c))))))) * * * * [misc]progress: [ 63 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d)))))) (* (- (* b c) (* a d)) (/ 1 (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 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (pow (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) 3))) * * * * [misc]progress: [ 64 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a 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 (24 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (- (* b c) (* a 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 c) (* a 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))))))) * * * * [misc]progress: [ 69 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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) (* (/ (- (* b c) (* a d)) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 70 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 71 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (* b c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (- (* b c) (* a 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) (* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 72 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (- (* b c) (* a 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 c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 73 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (- (* b c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (- (* b c) (* a 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) (* (- (* b c) (* a d)) (/ 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 74 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 103 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 103 ] 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 c) (* a d)) (/ 1 (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: [ 78 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 79 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 80 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt 1)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 81 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 82 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) 1) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 83 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b c) (* a d)) * * [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 c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 84 / 103 ] 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 c) (* a d)) (/ 1 (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: [ 85 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))) (sqrt (- (* c c) (* d d))))) * * * * [misc]progress: [ 86 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (* b c) 3) (pow (* a d) 3)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (- (pow (* b c) 3) (pow (* a d) 3)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (pow (* b c) 3) (pow (* a d) 3)) (* (sqrt (+ (* c c) (* d d))) (* (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 87 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* b c) (* b c)) (* (* a d) (* a d))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (463 enodes) * [exit]simplify: Simplified to (* (- (* b c) (* a d)) (+ (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (+ (* b c) (* a d))) (* (sqrt (+ (* c c) (* d d))) (* (+ (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 88 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* b c) (* a d)) * * [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 c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 89 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* b c) (* a d)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * [exit]simplify: Simplified to (- (* b c) (* a d)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 90 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (* b c) 3) (pow (* a d) 3)) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (/ (- (pow (* b c) 3) (pow (* a d) 3)) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (- (pow (* b c) 3) (pow (* a d) 3)) (sqrt (+ (* d d) (* c c)))) (* (sqrt (+ (* c c) (* d d))) (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))))) * * * * [misc]progress: [ 91 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* b c) (* b c)) (* (* a d) (* a d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (/ (* (+ (* b c) (* a d)) (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (/ (* (+ (* b c) (* a d)) (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) (* (sqrt (+ (* c c) (* d d))) (+ (* b c) (* a d))))) * * * * [misc]progress: [ 92 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) d)) * * * * [misc]progress: [ 93 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) c)) * * * * [misc]progress: [ 94 / 103 ] 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 c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (- c))) * * * * [misc]progress: [ 95 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 d)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 96 / 103 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 2 2) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 c)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 97 / 103 ] 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 2) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 (- c))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 98 / 103 ] 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: [ 99 / 103 ] 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: [ 100 / 103 ] 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: [ 101 / 103 ] 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: [ 102 / 103 ] 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: [ 103 / 103 ] 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 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 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 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 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) * [misc]approximate: Taking taylor expansion of (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) in d * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in d * [misc]taylor: Taking taylor expansion of (* b c) in d * [misc]taylor: Taking taylor expansion of b in d * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [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]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (/ c (/ 1 c)) into (pow c 2) * [misc]backup-simplify: Simplify (* b c) into (* b c) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b c) * [misc]backup-simplify: Simplify (/ (* b c) (pow c 2)) into (/ b c) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) in a * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in a * [misc]taylor: Taking taylor expansion of (* b c) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (* b c) into (* b c) * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* b c) 0) into (* b c) * [misc]backup-simplify: Simplify (/ (* b c) (+ (pow c 2) (pow d 2))) into (/ (* b c) (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) in c * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in c * [misc]taylor: Taking taylor expansion of (* b c) in c * [misc]taylor: Taking taylor expansion of b in c * [misc]backup-simplify: Simplify b into b * [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 (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (/ d (/ 1 d)) into (pow d 2) * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) (pow d 2)) into (* -1 (/ a d)) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) (+ (pow c 2) (pow d 2))) into (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) in b * [misc]taylor: Taking taylor expansion of (- (* b c) (* a d)) in b * [misc]taylor: Taking taylor expansion of (* b c) 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 c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* a d) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (pow c 2) (pow d 2)))) into (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (pow c 2) (pow d 2))) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (* 0 c) into 0 * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (- (* a d)) into (- (* a d)) * [misc]backup-simplify: Simplify (+ 0 (- (* a d))) into (- (* a d)) * [misc]backup-simplify: Simplify (/ (- (* a d)) (+ (pow c 2) (pow d 2))) into (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) in c * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (* a d) (+ (pow c 2) (pow d 2))) in c * [misc]taylor: Taking taylor expansion of (* a d) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [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 (/ (* a d) (pow d 2)) into (/ a d) * [misc]backup-simplify: Simplify (* -1 (/ a d)) into (* -1 (/ a d)) * [misc]taylor: Taking taylor expansion of (* -1 (/ a d)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 c)) into c * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ c 0) into c * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (+ (* (+ (pow c 2) (pow d 2)) (/ 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ c (+ (pow c 2) (pow d 2))) (+ (* (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ 0 (+ (pow c 2) (pow d 2)))))) into (/ c (+ (pow c 2) (pow d 2))) * [misc]taylor: Taking taylor expansion of (/ c (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (+ (pow c 2) (pow d 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]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [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 (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) 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 (pow d 2)) (+ (* (/ a d) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ a d))) 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 d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (/ 1 d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ -1 d) in d * [misc]taylor: Taking taylor expansion of -1 in d * [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 (/ -1 1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) 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 (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 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 (- (+ (* (sqrt (/ 1 (+ (pow c 2) (pow d 2)))) (/ 0 (sqrt (+ (pow c 2) (pow d 2))))) (* 0 (/ 0 (sqrt (+ (pow c 2) (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (+ (* (+ (pow c 2) (pow d 2)) (/ 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (* 0 (/ 0 (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (pow c 2) (pow d 2))) (+ (* (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ 0 (+ (pow c 2) (pow d 2)))) (* (/ c (+ (pow c 2) (pow d 2))) (/ 0 (+ (pow c 2) (pow d 2)))))) 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 a * [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]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 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 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 d))) into 0 * [misc]backup-simplify: Simplify (* 1 1) 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 (- (/ 0 (pow d 2)) (+ (* (/ a d) (/ 1 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into (- (/ a (pow d 3))) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ a (pow d 3)))) (+ (* 0 0) (* 0 (/ a d)))) into (/ a (pow d 3)) * [misc]taylor: Taking taylor expansion of (/ a (pow d 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 d 3) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (* d (pow d 2)) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [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 d) (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 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 into 0 * [misc]approximate: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 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 (- (/ 1 a)) 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 c)) (* (/ 1 a) (/ 1 d))) (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* 1 (/ 1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 d))) into (- (/ 1 d)) * [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 c)) (* (/ 1 a) (/ 1 d))) (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 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 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 c)) (* (/ 1 a) (/ 1 d))) (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 b) (/ 1 c)) 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 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 a) (/ 1 d)) 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 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 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 0) 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 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (- (+ (* (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 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (+ (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (* a d))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 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 d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* (/ 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 (- (+ (* (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 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (+ (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (* 0 (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 0 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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) 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 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (- (+ (* (/ 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 (- (+ (* (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)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (+ (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (* 0 (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (* 0 (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 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 c * [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 (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (+ (* 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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 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 d * [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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in d * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 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 (- (/ 1 a)) 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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in a * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* -1 (/ -1 d)) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 d))) into (- (/ 1 d)) * [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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in c * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 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 b) 1) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))))) in b * [misc]taylor: Taking taylor expansion of (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- b)) (/ 1 (- c))) 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 (- 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 (- a)) (/ 1 (- d))) 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 (- 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 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) * [misc]backup-simplify: Simplify (/ (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [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 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) in c * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [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 0) 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 (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) 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 c))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 d)) into (/ 1 (* a d)) * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (* a d)))) into (- (/ 1 (* a d))) * [misc]backup-simplify: Simplify (- (+ (* (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 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (+ (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (* a d))) (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d))) in c * [misc]taylor: Taking taylor expansion of (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d) in c * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 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 (/ 1 (pow d 2)) in c * [misc]taylor: Taking taylor expansion of (pow d 2) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 d) into d * [misc]backup-simplify: Simplify (* a d) into (* a d) * [misc]backup-simplify: Simplify (/ 1 (* a d)) into (/ 1 (* a d)) * [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 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow d 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 d * [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 (- 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 (- 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 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) 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 (- (+ (* (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 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (+ (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (* 0 (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) 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 a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* a d))) into (- (/ 1 (* a d))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* a d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* a d)) in a * [misc]taylor: Taking taylor expansion of (* a d) 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 d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 d) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 d)) into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (- (/ 1 d)) into (- (/ 1 d)) * [misc]taylor: Taking taylor expansion of (- (/ 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]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 0 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 (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 1) (* 0 0)))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow d 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow d 2))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in a * [misc]taylor: Taking taylor expansion of (pow d 2) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (/ 1 (pow d 2)) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (- 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 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 (- 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 d)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) 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 (- (+ (* (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)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) (+ (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (* 0 (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (* 0 (/ 0 (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) c)) (/ 0 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (* (- (/ 1 (* a (* (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) d)))) (/ 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 c * [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 (+ (* 1 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* a d)) (/ 0 (* a d))))) 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 (+ (* 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 (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow d 2)) (/ 0 (pow d 2))) (* 0 (/ 0 (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow d 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow d 2)) 1)) (* (- (/ 1 (pow d 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 d * [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 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 c) into (/ 1 c) * [misc]backup-simplify: Simplify (/ c (/ 1 c)) into (pow c 2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (/ d (/ 1 d)) into (pow d 2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (/ d (/ 1 d)) 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 (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 d)) (+ (* (pow d 2) (/ 0 (/ 1 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 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 (+ (* 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 (- (+ (* (/ 1 d) (/ (/ 1/2 d) d)) (* 0 (/ 0 d)))) into (- (* 1/2 (/ 1 (pow d 3)))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 d) (/ 1 d)) (+ (* (pow d 2) (/ (- (* 1/2 (/ 1 (pow d 3)))) (/ 1 d))) (* 0 (/ 0 (/ 1 d))))) 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]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) 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]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ (/ 1/2 d) d)) (* (- (* 1/2 (/ 1 (pow d 3)))) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 d)) (+ (* (pow d 2) (/ 0 (/ 1 d))) (* 0 (/ (- (* 1/2 (/ 1 (pow d 3)))) (/ 1 d))) (* 1 (/ 0 (/ 1 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 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]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 d) 2) (+ (* 2 (* 0 0)))) (* 2 d)) into (/ -1/8 (pow d 3)) * [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]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 d) 2) (+ (* 2 (* 0 0)))) (* 2 d)) into (/ -1/8 (pow d 3)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ (/ -1/8 (pow d 3)) d)) (* 0 (/ 0 d)) (* (- (* 1/2 (/ 1 (pow d 3)))) (/ (/ 1/2 d) d)) (* 0 (/ 0 d)))) into (* 3/8 (/ 1 (pow d 5))) * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow d 3)) (/ 1 d)) (+ (* (pow d 2) (/ (* 3/8 (/ 1 (pow d 5))) (/ 1 d))) (* 0 (/ 0 (/ 1 d))) (* 1 (/ (- (* 1/2 (/ 1 (pow d 3)))) (/ 1 d))) (* 0 (/ 0 (/ 1 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 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 (/ (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) (/ 1 (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)))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 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)))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 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)))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) 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 (- (/ 0 1) (+ (* 1 (/ 0 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 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 (/ 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 (/ (/ 1/2 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (pow d 2)) 1) (+ (* 1 (/ (- (* 1/2 (/ 1 (pow d 2)))) 1)) (* 0 (/ 0 1)))) 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]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow d 2)))))) (* 2 1)) 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 (/ 0 1)) (* 0 (/ (/ 1/2 (pow d 2)) 1)) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 1/2 (/ 1 (pow d 2)))) 1)) (* (/ 1 (pow d 2)) (/ 0 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 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]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 (/ 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 (/ (/ -1/8 (pow d 4)) 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ (/ 1/2 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (* 3/8 (/ 1 (pow d 4))) * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow d 4)) 1) (+ (* 1 (/ (* 3/8 (/ 1 (pow d 4))) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow d 2)) (/ (- (* 1/2 (/ 1 (pow d 2)))) 1)) (* 0 (/ 0 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 (- (+ (* 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 (/ (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) (/ 1 (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))))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 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))))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 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))))) (/ 1 (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]taylor: Taking taylor expansion of (/ 1 (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 (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) 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 (- (/ 0 1) (+ (* 1 (/ 0 1)))) 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]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 (- 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 (- (+ (* 1 (/ (/ 1/2 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (pow d 2)) 1) (+ (* 1 (/ (- (* 1/2 (/ 1 (pow d 2)))) 1)) (* 0 (/ 0 1)))) 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]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 (- 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1/2 (pow d 2)) 1)) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 1/2 (/ 1 (pow d 2)))) 1)) (* (/ 1 (pow d 2)) (/ 0 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 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]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 (- 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 (- (+ (* 1 (/ (/ -1/8 (pow d 4)) 1)) (* 0 (/ 0 1)) (* (- (* 1/2 (/ 1 (pow d 2)))) (/ (/ 1/2 (pow d 2)) 1)) (* 0 (/ 0 1)))) into (* 3/8 (/ 1 (pow d 4))) * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow d 4)) 1) (+ (* 1 (/ (* 3/8 (/ 1 (pow d 4))) 1)) (* 0 (/ 0 1)) (* (/ 1 (pow d 2)) (/ (- (* 1/2 (/ 1 (pow d 2)))) 1)) (* 0 (/ 0 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 (- (+ (* 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 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 293 ] 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 2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 8 / 293 ] 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 2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 9 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (* 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 10 / 293 ] 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 2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))))) * * * * [misc]progress: [ 11 / 293 ] 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 2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))))))) * * * * [misc]progress: [ 12 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 293 ] 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 2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (fabs (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 14 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 293 ] 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 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 22 / 293 ] 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 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 23 / 293 ] 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 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (* 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 24 / 293 ] 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 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (/ (sqrt (+ (pow c 6) (pow d 6))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 25 / 293 ] 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 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (/ (sqrt (- (pow c 4) (pow d 4))) (sqrt (- (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 26 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 293 ] 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 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (fabs (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 28 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* b c) (* a d))) (- (log (sqrt (+ (* c c) (* d d)))) (- (log (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a 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 (- (* b c) (* a d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 31 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* b c) (* a d))) (- (log (sqrt (+ (* c c) (* d d)))) (log (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a 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 (- (* b c) (* a d))) (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 32 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (* b c) (* a d))) (log (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a d))) (log (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (exp (- (log (- (* b c) (* a d))) (log (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 33 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (/ (pow (- (* b c) (* a d)) 3) (pow (+ (* d d) (* c c)) 3)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (/ (pow (- (* b c) (* a d)) 3) (pow (+ (* d d) (* c c)) 3)))) * * * * [misc]progress: [ 36 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (pow (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (cbrt (pow (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) 3))) * * * * [misc]progress: [ 37 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* b c) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (* b c) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (- (/ (* b c) (+ (* c c) (* d d))) (/ (* a d) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 42 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 43 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* 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 (60 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 44 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 45 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 46 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (* (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 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 47 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (* (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 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 48 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 49 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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) (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* d d) (* c c)))) (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (- c d) (+ c d))) (cbrt (- (* b c) (* a d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a 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 (- (* b c) (* a d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 50 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (/ (fabs (cbrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d)))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 51 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 52 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (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 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 53 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (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 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 54 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d)))) (* (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 55 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (- c d) (+ c d))) (cbrt (- (* b c) (* a d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4))))) (/ (* (sqrt (* (- c d) (+ c d))) (cbrt (- (* b c) (* a d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 56 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 57 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 58 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 59 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 60 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 61 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (- c d) (+ c d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (* (sqrt (* (- c d) (+ c d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 62 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt 1) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 63 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 64 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 65 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 66 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt 1) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (pow d 6) (pow c 6)))) (* (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 67 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt 1) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (- (pow c 4) (pow d 4))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (- (pow c 4) (pow d 4))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ c d) (- c d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (- (pow c 4) (pow d 4))) (cbrt (- (* b c) (* a d))))) (* (sqrt (* (+ c d) (- c d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 68 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 69 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 70 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 71 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a 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 c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 72 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (421 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d))))) (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 73 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (- c d) (+ c d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (* (sqrt (* (- c d) (+ c d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 74 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ 1 (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d)))) (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d)))) (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d)))) (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 75 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (/ 1 (sqrt (+ (* d d) (* c c)))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 76 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 77 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 78 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ 1 (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (pow d 6) (pow c 6)))) (* (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 79 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ 1 (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (- (pow c 4) (pow d 4))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (- (pow c 4) (pow d 4))) (cbrt (- (* b c) (* a d))))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ c d) (- c d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (- (pow c 4) (pow d 4))) (cbrt (- (* b c) (* a d))))) (* (sqrt (* (+ c d) (- c d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 80 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 81 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* d d) (* c c)))) (/ (cbrt (- (* b c) (* a d))) (/ 1 (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (/ 1 (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 82 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (sqrt (+ (* c c) (* d d))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 83 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 84 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 85 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 86 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a 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 (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 87 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (* (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 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 88 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (* (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 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a 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 (- (* b c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 89 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (* b c) (* a 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) (* (/ (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 90 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (350 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (- c d) (+ c d))) (sqrt (- (* b c) (* a d)))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (* (sqrt (* (- c d) (+ c d))) (sqrt (- (* b c) (* a d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 91 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 92 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 93 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (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 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 94 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (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 (37 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 95 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (fabs (cbrt (+ (* c c) (* d d))))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 96 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (- c d) (+ c d))) (sqrt (- (* b c) (* a d)))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (* (sqrt (* (- c d) (+ c d))) (sqrt (- (* b c) (* a d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 97 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 98 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 99 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 100 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 101 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 102 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (- c d) (+ c d))) (sqrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (* (sqrt (* (- c d) (+ c d))) (sqrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 103 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt 1) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (sqrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (sqrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (sqrt (- (* b c) (* a d))) (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 104 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d)))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d)))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 105 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 106 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 107 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt 1) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 108 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt 1) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ c d) (- c d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (* (sqrt (* (+ c d) (- c d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 109 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 110 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 111 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 112 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a 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 c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 113 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow c 6) (pow d 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 114 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (272 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (- c d) (+ c d))) (sqrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (* (sqrt (* (- c d) (+ c d))) (sqrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 115 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ 1 (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* 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 (55 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d))))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (* (cbrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 116 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d)))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (sqrt (/ 1 (sqrt (+ (* d d) (* c c))))) (sqrt (- (* b c) (* a d)))) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 117 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 118 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 119 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ 1 (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (pow d 6) (pow c 6)))) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 120 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ 1 (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (* (+ c d) (- c d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (- (pow c 4) (pow d 4)))) (* (sqrt (* (+ c d) (- c d))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 121 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (- (* b c) (* a d))) (/ (sqrt (- (* b c) (* a d))) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 122 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (/ 1 (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ 1 (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* d d) (* c c)))))) * * * * [misc]progress: [ 123 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (/ (sqrt (+ (* c c) (* d d))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 124 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 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 c) (* a d)) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a 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)))) (/ (- (* b c) (* a d)) (cbrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 125 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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 (34 enodes) * * [misc]simplify: iters left: 2 (35 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 c) (* a d)) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 126 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 127 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (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 (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 128 / 293 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 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 c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 129 / 293 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 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 c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 130 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow d 6) (pow c 6))))) * [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 (+ (pow d 6) (pow c 6))))) (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c 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 (+ (pow d 6) (pow c 6))))) (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 131 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (* (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 (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 132 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d)))))) (* (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 133 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (/ 1 (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) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (fabs (cbrt (+ (* c c) (* d d))))) (* (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 134 / 293 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (20 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 c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 135 / 293 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (20 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 c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 136 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 137 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 138 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 139 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 140 / 293 ] 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 (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 c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 141 / 293 ] 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 (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 c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 142 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 143 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 144 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 145 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 146 / 293 ] 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 c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 147 / 293 ] 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 c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 148 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (pow c 6) (pow d 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (pow c 6) (pow d 6)))) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (pow c 6) (pow d 6)))) (* (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 149 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 150 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 151 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 152 / 293 ] 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 (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 c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 153 / 293 ] 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 (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 c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a 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))))) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 154 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 155 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 156 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * [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 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 157 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) (/ (sqrt (+ (* c c) (* d d))) (- (* b c) (* a d)))))) * * * * [misc]progress: [ 158 / 293 ] 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 c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 159 / 293 ] 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 c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 160 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (* (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (pow d 6) (pow c 6)))) (* (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 161 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (* (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (- (pow c 4) (pow d 4)))) (/ (* (sqrt (* (+ c d) (- c d))) (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 162 / 293 ] 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 c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* 1 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))) * * * * [misc]progress: [ 163 / 293 ] 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 c) (* a d)) (/ 1 (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (/ 1 (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 164 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ (* c c) (* d d))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 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 c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 165 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 168 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (cbrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (* (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) (cbrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 169 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (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) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (sqrt (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 170 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 171 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 172 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 173 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) 1)) (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 174 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 175 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (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 (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))))) * * * * [misc]progress: [ 176 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 177 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 178 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (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 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 179 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (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 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) 1)) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 180 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (cbrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 181 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (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 (cbrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))))) * * * * [misc]progress: [ 182 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 183 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 184 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 185 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 186 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 187 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))))) * * * * [misc]progress: [ 188 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt 1) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 189 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 190 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt 1) 1)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 191 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt 1) 1)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 192 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt 1) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 193 / 293 ] simplifiying candidate # * [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) (/ (/ (- (* b c) (* a d)) (/ (sqrt 1) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 194 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 195 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 196 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 197 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) 1)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 198 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 199 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))))) * * * * [misc]progress: [ 200 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ 1 (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 201 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 202 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ 1 1)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 203 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ 1 1)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 204 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ 1 (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3)))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))))) * * * * [misc]progress: [ 205 / 293 ] simplifiying candidate # * [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) (/ (/ (- (* b c) (* a d)) (/ 1 (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d))))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 206 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) 1) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 207 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 208 / 293 ] 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 c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) 1)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 209 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (/ (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (- (* b c) (* a d)))))) * * * * [misc]progress: [ 210 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* b c) (* a d))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (sqrt (- (* b c) (* a d))) (/ (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (- (* b c) (* a d)))))) * * * * [misc]progress: [ 211 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 212 / 293 ] 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 2) to (λ (a b c d) (* (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 213 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* b c) 3) (pow (* a d) 3)) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (- (pow (* b c) 3) (pow (* a d) 3)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (pow (* b c) 3) (pow (* a d) 3)) (* (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (+ (* (* b c) (* b c)) (+ (* (* a d) (* a d)) (* (* b c) (* a d))))))) * * * * [misc]progress: [ 214 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (* b c) (* b c)) (* (* a d) (* a d))) * * [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 c) (* a d)) (- (* b c) (* a d))) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (* (+ (* b c) (* a d)) (- (* b c) (* a d))) (* (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) (+ (* b c) (* a d))))) * * * * [misc]progress: [ 215 / 293 ] 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 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (pow (+ (* c c) (* d d)) (- 1/2 (- 1/2))))) * [enter]simplify: Simplifying (- 1/2 (- 1/2)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (pow (+ (* c c) (* d d)) 1))) * * * * [misc]progress: [ 216 / 293 ] 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 c) (* a d)) (pow (sqrt (+ (* c c) (* d d))) (- 1 -1)))) * [enter]simplify: Simplifying (- 1 -1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (pow (sqrt (+ (* c c) (* d d))) 2))) * * * * [misc]progress: [ 217 / 293 ] 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 c) (* a d)) (pow (sqrt (+ (* c c) (* d d))) (- 1 (- 1))))) * [enter]simplify: Simplifying (- 1 (- 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (pow (sqrt (+ (* c c) (* d d))) 2))) * * * * [misc]progress: [ 218 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 219 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ (* c c) (* d d)))) (- (log (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (exp (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 220 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ (* c c) (* d d)))) (log (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (exp (+ (log (sqrt (+ (* c c) (* d d)))) (log (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 221 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 222 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 223 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (+ (* c c) (* d d))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) (* (* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (pow (+ (* c c) (* d d)) 3) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (cbrt (pow (+ (* c c) (* d d)) 3)))) * * * * [misc]progress: [ 224 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 225 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 226 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 227 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 228 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 229 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 230 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (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: [ 231 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (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: [ 232 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (+ (pow d 6) (pow c 6))) (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (cbrt (sqrt (+ (* c c) (* d 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))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (+ (pow d 6) (pow c 6))) (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 233 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (pow c 4) (pow d 4)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ (* c c) (* d d)))) (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 (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (- (pow c 4) (pow d 4)))) (/ (cbrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d))))))) * * * * [misc]progress: [ 234 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (/ (fabs (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 235 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 236 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (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 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 237 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (/ 1 (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 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (fabs (cbrt (+ (* c c) (* d d)))) (* (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 238 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (cbrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 239 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (* (sqrt (- (pow c 4) (pow d 4))) (fabs (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (- (pow c 4) (pow d 4))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ (* c c) (* d d)))) (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 (cbrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (- (pow c 4) (pow d 4))) (fabs (cbrt (+ (* c c) (* d d))))) (/ (sqrt (cbrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d))))))) * * * * [misc]progress: [ 240 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 241 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 242 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 243 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 244 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (sqrt (+ (* c c) (* d 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))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 245 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d))))))) * * * * [misc]progress: [ 246 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (/ 1 (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 247 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 248 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* 1 (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 249 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* 1 (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 250 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (68 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 c) (* a d)) (* (sqrt (+ (pow c 6) (pow d 6))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (+ (pow c 6) (pow d 6))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 251 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (184 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 c) (* a 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 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (- (pow c 4) (pow d 4))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))) * * * * [misc]progress: [ 252 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 253 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 254 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 255 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (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) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (+ (* c c) (* d d)))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 256 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow d 6) (pow c 6)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (sqrt (+ (* c c) (* d 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))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (+ (pow d 6) (pow c 6)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (+ (pow c 4) (pow d 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 257 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (pow c 4) (pow d 4)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* c c) (* d d)))) (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 (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (- (pow c 4) (pow d 4)))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (* (+ c d) (- c d))))))) * * * * [misc]progress: [ 258 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (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 (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ 1 (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ 1 (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (+ (* c c) (* d d))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 259 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (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 (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ 1 (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))))))) * * * * [misc]progress: [ 260 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* 1 (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 261 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (* 1 (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (+ (* c c) (* d d)) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* 1 (+ (* c c) (* d d))))) * * * * [misc]progress: [ 262 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (+ (pow d 6) (pow c 6))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a 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))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* c c) (* d d))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* 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 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (+ (pow d 6) (pow c 6))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* c d) (* c d)))))))) * * * * [misc]progress: [ 263 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (189 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 c) (* a 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 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (sqrt (- (pow c 4) (pow d 4))) (/ (sqrt (+ (* c c) (* d d))) (sqrt (- (* c c) (* d d))))))) * * * * [misc]progress: [ 264 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 265 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 266 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 267 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (/ (sqrt (+ (* c c) (* d d))) (* (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d))))))) (cbrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 268 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (/ (sqrt (+ (* c c) (* d d))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))) (sqrt (/ 1 (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 269 / 293 ] 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 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (/ (sqrt (+ (* c c) (* d d))) 1) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 270 / 293 ] 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 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (/ (sqrt (+ (* c c) (* d d))) 1) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 271 / 293 ] 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 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (- (+ (pow d 4) (pow c 4)) (* (* d c) (* d c))))))) * * * * [misc]progress: [ 272 / 293 ] 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 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (/ (sqrt (+ (* c c) (* d d))) (/ 1 (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 273 / 293 ] 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 2 1) to (λ (a b c d) (/ (- (* b c) (* a 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)))))))) * * * * [misc]progress: [ 274 / 293 ] 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 c) (* a d)) (/ (fabs (cbrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 275 / 293 ] 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 c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 276 / 293 ] 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 c) (* a d)) (/ 1 (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 277 / 293 ] 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 c) (* a d)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))))) * * * * [misc]progress: [ 278 / 293 ] simplifiying candidate # * * * * [misc]progress: [ 279 / 293 ] 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 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (* (/ (sqrt (+ (* c c) (* d d))) 1) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 280 / 293 ] 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 c) (* a d)) (/ (sqrt (+ (pow c 6) (pow d 6))) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))))) * * * * [misc]progress: [ 281 / 293 ] 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 c) (* a d)) (/ (sqrt (- (pow c 4) (pow d 4))) (* (/ 1 (sqrt (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))))) * * * * [misc]progress: [ 282 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 d)))) * * * * [misc]progress: [ 283 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 c)))) * * * * [misc]progress: [ 284 / 293 ] 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 2 2) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (sqrt (+ (* c c) (* d d))) (/ 1 (- c))))) * * * * [misc]progress: [ 285 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ d (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 286 / 293 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ c (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 287 / 293 ] 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 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (/ (- c) (/ 1 (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 288 / 293 ] 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: [ 289 / 293 ] 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: [ 290 / 293 ] 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: [ 291 / 293 ] 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 c) (* a d)) (+ (* d d) (* c c)))) * * * * [misc]progress: [ 292 / 293 ] 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 c) (* a d)) (+ (* c c) (* d d)))) * * * * [misc]progress: [ 293 / 293 ] 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 c) (* a d)) (+ (* 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 a c b) * * * * [misc]regimes: Trying to branch on d from (# # # # # # # # # #) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # # # #) * * * * [misc]regimes: Trying to branch on c from (# # # # # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # # # # #) * * * [misc]regime: Found split indices: #