* [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 19 additional inputs, on iter 1 have 237 / 256 * * * * [misc]points: Computing exacts for 19 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 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] 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 (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (* a d) into (* a d) * [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 (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]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 (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 3 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log d)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 3 (log d)) into (* 3 (log d)) * [misc]backup-simplify: Simplify (exp (* 3 (log d))) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 / 3 ] 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: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (* c c) (* d d)) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 (37 enodes) * * [misc]simplify: iters left: 2 (43 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 64 ] 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 (133 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (- (* b c) (* a d)) (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))) * * * * [misc]progress: [ 30 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* c c)) (exp (* d d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (log (exp (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 64 ] 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: [ 57 / 64 ] 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: [ 58 / 64 ] 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: [ 59 / 64 ] 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: [ 60 / 64 ] 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: [ 61 / 64 ] 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: [ 62 / 64 ] 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: [ 63 / 64 ] 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: [ 64 / 64 ] 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: 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 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]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 (- (+ (* 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 (- (/ 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]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) into 0 * [misc]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 (- (/ 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]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 (- (+ (* 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 (- (/ 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]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) into 0 * [misc]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 (- (/ 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 (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 1 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 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 96 ] 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 / 96 ] 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 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (* (sqrt 1) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 10 / 96 ] 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 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) * * * * [misc]progress: [ 11 / 96 ] 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 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* 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 (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 96 ] 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 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 96 ] 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 / 96 ] 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 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (* (sqrt 1) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 96 ] 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 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 25 / 96 ] 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 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 96 ] 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 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 96 ] 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 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 96 ] 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 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (/ (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)))) (sqrt 1)) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 43 / 96 ] 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 / 96 ] 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 (37 enodes) * * [misc]simplify: iters left: 2 (43 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (/ (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 1)) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 49 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt 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 (sqrt 1)) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 55 / 96 ] 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 / 96 ] 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 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 96 ] 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 (134 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c 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 (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 70 / 96 ] 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 / 96 ] 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 / 96 ] 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 / 96 ] 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 1) to (λ (a b c d) (/ (/ (log (exp (- (* b c) (* a d)))) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 74 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 96 ] 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: [ 86 / 96 ] 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: [ 87 / 96 ] 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: [ 88 / 96 ] 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: [ 89 / 96 ] 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: [ 90 / 96 ] 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: [ 91 / 96 ] 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: [ 92 / 96 ] 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: [ 93 / 96 ] 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: [ 94 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ 0 (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 95 / 96 ] 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 1) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 96 / 96 ] 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 1) to (λ (a b c d) (/ (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] 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 (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log d))) into (pow d 2) * [misc]backup-simplify: Simplify (* a d) into (* a d) * [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 (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]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 (+ (* a 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 3 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log d)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 3 (log d)) into (* 3 (log d)) * [misc]backup-simplify: Simplify (exp (* 3 (log d))) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 / 3 ] 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: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (+ (* c c) (* d d)) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* d 1) 2)) (* 1 (pow (* 1 c) 2))) into (+ (pow d 2) (pow c 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 c))) 2)) (* 1 (pow (* (/ 1 (/ 1 d)) 1) 2))) into (+ (pow c 2) (pow d 2)) * [misc]approximate: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 (37 enodes) * * [misc]simplify: iters left: 2 (43 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 64 ] 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 (133 enodes) * * [misc]simplify: iters left: 2 (231 enodes) * [exit]simplify: Simplified to (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))) * [misc]simplify: Simplified (2 2) to (λ (a b c d) (* (/ (- (* b c) (* a d)) (+ (pow (* c c) 3) (pow (* d d) 3))) (+ (* (* d d) (* d d)) (* (* c c) (- (* c c) (* d d)))))) * * * * [misc]progress: [ 30 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] 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 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* c c)) (exp (* d d))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 2 1) to (λ (a b c d) (/ (- (* b c) (* a d)) (log (exp (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 64 ] 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: [ 57 / 64 ] 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: [ 58 / 64 ] 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: [ 59 / 64 ] 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: [ 60 / 64 ] 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: [ 61 / 64 ] 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: [ 62 / 64 ] 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: [ 63 / 64 ] 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: [ 64 / 64 ] 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: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [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]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 (- (+ (* 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 (- (/ 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]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) into 0 * [misc]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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]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 (- (+ (* 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 (- (/ 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]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) into 0 * [misc]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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 d)) into (/ 1/2 d) * [misc]taylor: Taking taylor expansion of (/ 1/2 d) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (+ (* 0 0) (* 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 d))))) (* 2 d)) into 0 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* d 1)) into d * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in (c d) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in d * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow d 2))) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow d 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow d 2)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]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 (- (+ (* 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 (- (/ 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]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) into 0 * [misc]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 (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (/ 1 (/ 1 (- c))))) into (* -1 c) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in (b c a d) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in d * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (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 (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt c) into (sqrt c) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt c))) into 0 * [misc]backup-simplify: Simplify (* b 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) (sqrt c)) into (* b (sqrt c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in d * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in d * [misc]taylor: Taking taylor expansion of (* c c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow c 2) 0) into (pow c 2) * [misc]backup-simplify: Simplify (sqrt (pow c 2)) into c * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow c 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt c) into (sqrt c) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt c))) into 0 * [misc]backup-simplify: Simplify (/ (* b (sqrt c)) (sqrt c)) into b * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in a * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (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 (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* b 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 (+ (pow c 2) (pow d 2)) 1/4)) into (* (* b c) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in a * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in a * [misc]taylor: Taking taylor expansion of (* c c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* (* b c) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (* (* b c) (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in c * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (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 (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (* b 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)) (sqrt d)) into (* -1 (* a (sqrt d))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in c * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in c * [misc]taylor: Taking taylor expansion of (* c c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* d d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ 0 (pow d 2)) into (pow d 2) * [misc]backup-simplify: Simplify (sqrt (pow d 2)) into d * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (pow d 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt d) into (sqrt d) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt d))) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (* a (sqrt d))) (sqrt d)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (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 (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 0 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 (+ (pow c 2) (pow d 2)) 1/4)) into (* -1 (* (* a d) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (* (* a d) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4))) (pow (+ (pow c 2) (pow d 2)) 1/4)) into (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) in b * [misc]taylor: Taking taylor expansion of (/ (- (* b c) (* a d)) (sqrt (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 (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (* 0 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 (+ (pow c 2) (pow d 2)) 1/4)) into (* -1 (* (* a d) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* c c) (* d d)))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* c c) (* d d))) in b * [misc]taylor: Taking taylor expansion of (+ (* c c) (* d d)) in b * [misc]taylor: Taking taylor expansion of (* c c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]taylor: Taking taylor expansion of (* d d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (* c c) into (pow c 2) * [misc]backup-simplify: Simplify (* d d) into (pow d 2) * [misc]backup-simplify: Simplify (+ (pow c 2) (pow d 2)) into (+ (pow c 2) (pow d 2)) * [misc]backup-simplify: Simplify (sqrt (+ (pow c 2) (pow d 2))) into (sqrt (+ (pow c 2) (pow d 2))) * [misc]backup-simplify: Simplify (+ (* c 0) (* 0 c)) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (* 0 d)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (pow c 2) (pow d 2)))) into (pow (+ (pow c 2) (pow d 2)) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow c 2) (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (* (* a d) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4))) (pow (+ (pow c 2) (pow d 2)) 1/4)) 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 (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (* -1 (* (* a d) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4))) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) into (* c (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) * [misc]backup-simplify: Simplify (- (/ (* c (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) 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 (pow d 2) in c * [misc]taylor: Taking taylor expansion of (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 (pow 0 2) (+)) (* 2 (pow (+ (pow c 2) (pow d 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (* -1 (* (* a d) (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4))) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))) (* (* c (pow (/ 1 (+ (pow c 2) (pow d 2))) 1/4)) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* c 0) (+ (* 0 0) (* 0 c))) into 0 * [misc]backup-simplify: Simplify (+ (* d 0) (+ (* 0 0) (* 0 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow c 2) (pow d 2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (pow c 2) (pow d 2)) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4)) (+ (* (* -1 (* (* a d) (sqrt (/ 1 (+ (pow c 2) (pow d 2)))))) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))) (* (* c (sqrt (/ 1 (+ (pow c 2) (pow d 2))))) (/ 0 (pow (+ (pow c 2) (pow d 2)) 1/4))))) 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 (/ (* (pow (* 1 0) 2)) (pow d 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow d 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (log d)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ 1 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)) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in d * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in d * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ +nan.0 a) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 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)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* -1 (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in a * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in a * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d))) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ 1 b) 1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in c * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in c * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ +nan.0 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 b) (/ 1 c)) (* (/ 1 a) (/ 1 d))) (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) 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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (/ 1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 c) (/ 1 c)) (* (/ 1 d) (/ 1 d))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 c) (/ 1 c)) in b * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (/ 1 c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (/ 1 c) into (/ 1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 d) (/ 1 d)) in b * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]taylor: Taking taylor expansion of (/ 1 d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (/ 1 d) into (/ 1 d) * [misc]backup-simplify: Simplify (* (/ 1 c) (/ 1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ 1 d) (/ 1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (* 0 (/ 1 c))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (* 0 (/ 1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 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))) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) * [misc]backup-simplify: Simplify (- (/ (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 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)) (* 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 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (* 0 (/ 1 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (* 0 (/ 1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 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)) (* 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 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]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)) (* 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]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 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 (* 1/2 (/ 1 (pow d 2))) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (pow d 2))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [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]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)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0) (* 0 (/ 1 c))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 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)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 c) (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)) (* 0 (/ 0 c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 c))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 d) (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)) (* 0 (/ 0 d)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 d))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) 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]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)))) 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 (+ (* 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 (+ (* (/ 1 (* a d)) (/ -1/2 (pow d 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (* a (pow d 3))))) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ 1 (* a (pow d 3)))))) into (* 1/2 (/ 1 (* a (pow d 3)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* a (pow d 3)))) 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 (* a (pow d 3))) in a * [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 (exp (* 3 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log d)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 3 (log d)) into (* 3 (log d)) * [misc]backup-simplify: Simplify (exp (* 3 (log d))) into (pow d 3) * [misc]backup-simplify: Simplify (* 0 (pow d 3)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow d 3))) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow d 3))) into (/ 1/2 (pow d 3)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 3)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 b)))))) (* -1 (* (/ 1 (/ 1 d)) (* (/ 1 (/ 1 a)) (* (/ 1 c) 1))))) into (- b (/ (* a d) c)) * [misc]approximate: Taking taylor expansion of (/ (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ -1 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)) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in d * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in d * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in d * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in d * [misc]taylor: Taking taylor expansion of (- c) in d * [misc]taylor: Taking taylor expansion of c in d * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in d * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in d * [misc]taylor: Taking taylor expansion of (- d) in d * [misc]taylor: Taking taylor expansion of d in d * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ +nan.0 a) +nan.0) into (/ +nan.0 a) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 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)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* -1 (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in a * [misc]taylor: Taking taylor expansion of (- c) in a * [misc]taylor: Taking taylor expansion of c in a * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in a * [misc]taylor: Taking taylor expansion of (- d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* -1 (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 d))) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (/ -1 b) -1) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (/ (/ 1 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in c * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in c * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in c * [misc]taylor: Taking taylor expansion of (- c) in c * [misc]taylor: Taking taylor expansion of c in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in c * [misc]taylor: Taking taylor expansion of (- d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ (/ +nan.0 b) +nan.0) into (/ +nan.0 b) * [misc]taylor: Taking taylor expansion of (/ (/ (- (* (/ 1 (- b)) (/ 1 (- c))) (* (/ 1 (- a)) (/ 1 (- d)))) (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) 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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))))) (sqrt (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 (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 (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (* -1 (/ -1 c)) into (/ 1 c) * [misc]backup-simplify: Simplify (+ (/ 1 c) 0) into (/ 1 c) * [misc]backup-simplify: Simplify (/ (/ 1 c) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) into (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))))) in b * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- c)) (/ 1 (- c))) (* (/ 1 (- d)) (/ 1 (- d)))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- c)) (/ 1 (- c))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (/ 1 (- c)) in b * [misc]taylor: Taking taylor expansion of (- c) in b * [misc]taylor: Taking taylor expansion of c in b * [misc]backup-simplify: Simplify c into c * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (/ 1 (- c)) into (/ -1 c) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- d)) (/ 1 (- d))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]taylor: Taking taylor expansion of (/ 1 (- d)) in b * [misc]taylor: Taking taylor expansion of (- d) in b * [misc]taylor: Taking taylor expansion of d in b * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (/ 1 (- d)) into (/ -1 d) * [misc]backup-simplify: Simplify (* (/ -1 c) (/ -1 c)) into (/ 1 (pow c 2)) * [misc]backup-simplify: Simplify (* (/ -1 d) (/ -1 d)) into (/ 1 (pow d 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) into (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) * [misc]backup-simplify: Simplify (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) into (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (* 0 (/ -1 c))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (* 0 (/ -1 d))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) into (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) into 0 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 (- 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))) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) * [misc]backup-simplify: Simplify (- (/ (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) 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]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 (exp (* 2 (log d))) in c * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in c * [misc]taylor: Taking taylor expansion of 2 in c * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in c * [misc]taylor: Taking taylor expansion of d in c * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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 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 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 (- 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 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (* 0 (/ -1 c)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (* 0 (/ -1 d)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 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 (- 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 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 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 (exp (* 2 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 2 (log d)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 2 (log d)) into (* 2 (log d)) * [misc]backup-simplify: Simplify (exp (* 2 (log 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]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 (- 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 c) (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log d))) (+ (* (/ (pow 0 1) 1)))) 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 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 (* 1/2 (/ 1 (pow d 2))) into (/ 1/2 (pow d 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (pow d 2))) into (- (* 1/2 (/ 1 (pow d 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 (pow d 2)))) in d * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (pow d 2))) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow d 2)) in d * [misc]taylor: Taking taylor expansion of (pow d 2) in d * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [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]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 (- 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))) (* 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 (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 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 (- 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))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 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))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (pow (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))) 1/4))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) 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 (- 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))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- c) into (- c) * [misc]backup-simplify: Simplify (- 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))) (* 0 (/ 0 (- c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 c) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 c))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- d) into (- d) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 d) (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))) (* 0 (/ 0 (- d))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 d) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 d))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow c 2)) (/ 1 (pow d 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4)) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))) (/ 1 c)) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* (- (* (/ 1 (* a d)) (sqrt (/ 1 (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))))))) (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))) (* 0 (/ 0 (pow (+ (/ 1 (pow c 2)) (/ 1 (pow d 2))) 1/4))))) 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]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)))) 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 (+ (* 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 (+ (* (/ 1 (* a d)) (/ -1/2 (pow d 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (* a (pow d 3))))) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ 1 (* a (pow d 3)))))) into (* 1/2 (/ 1 (* a (pow d 3)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* a (pow d 3)))) 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 (* a (pow d 3))) in a * [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 (exp (* 3 (log d))) in a * [misc]taylor: Taking taylor expansion of (* 3 (log d)) in a * [misc]taylor: Taking taylor expansion of 3 in a * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log d) in a * [misc]taylor: Taking taylor expansion of d in a * [misc]backup-simplify: Simplify d into d * [misc]backup-simplify: Simplify (log d) into (log d) * [misc]backup-simplify: Simplify (* 3 (log d)) into (* 3 (log d)) * [misc]backup-simplify: Simplify (exp (* 3 (log d))) into (pow d 3) * [misc]backup-simplify: Simplify (* 0 (pow d 3)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow d 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log d))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log d))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow d 3))) into (pow d 3) * [misc]backup-simplify: Simplify (/ 1 (pow d 3)) into (/ 1 (pow d 3)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (pow d 3))) into (/ 1/2 (pow d 3)) * [misc]taylor: Taking taylor expansion of (/ 1/2 (pow d 3)) in d * [misc]taylor: Taking taylor expansion of 1/2 in d * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow d 3) in d * [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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- b))))))) (* -1 (* (/ 1 (/ 1 (- d))) (* (/ 1 (/ 1 (- a))) (* (/ 1 (- c)) 1))))) into (- (/ (* a d) c) b) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 411 ] 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 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 8 / 411 ] 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))))) (sqrt (sqrt (+ (* c c) (* d d))))) (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) * * * * [misc]progress: [ 9 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [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))))) (* (sqrt 1) (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 10 / 411 ] 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 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) * [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))))) (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) * * * * [misc]progress: [ 11 / 411 ] 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 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* 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))))) (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d)))))) * * * * [misc]progress: [ 12 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 411 ] 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 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (fabs (sqrt (+ (* c c) (* d d)))))) * * * * [misc]progress: [ 14 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 22 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 23 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (sqrt 1) (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 24 / 411 ] 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 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 25 / 411 ] 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 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 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)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 26 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 28 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (* (fabs (cbrt (+ (* c c) (* d d)))) (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 36 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 37 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (* (sqrt 1) (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 38 / 411 ] 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 (48 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (/ (sqrt (+ (* (pow c 3) (pow c 3)) (pow (* d d) 3))) (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 39 / 411 ] 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 (77 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (/ (sqrt (* (- (* c c) (* d d)) (+ (* c c) (* d d)))) (sqrt (- (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 40 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* c c) (* d d))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ (* c c) (* d d))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (fabs (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 42 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (* b c) (* a d))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) (log (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 (41 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (- (log (- (* b c) (* a d))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) (log (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (log (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 45 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))) * * [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 (76 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (- (log (- (* b c) (* a d))) (+ (log (sqrt (sqrt (+ (* c c) (* d d))))) (log (sqrt (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 (sqrt (+ (* c c) (* d d))))) (log (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 46 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (- (* b c) (* a d))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (/ (* (* (- (* b c) (* a d)) (- (* b c) (* a d))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c)))) (sqrt (+ (* d d) (* c c))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 49 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (* (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (- (* b c) (* a d)) (- (* b c) (* a d)))) (sqrt (+ (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (cbrt (/ (* (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (- (* b c) (* a d)) (- (* b c) (* a d)))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 50 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* b c) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 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 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 55 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 56 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (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 (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 57 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 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 (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 58 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 59 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt 1)) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt 1)) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 60 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 61 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 62 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 63 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (69 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 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 64 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (cbrt (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)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 65 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 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 (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (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)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (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 (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (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)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 66 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (fabs (cbrt (+ (* 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 (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* 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 (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 67 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 68 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 (sqrt (+ (* c c) (* d 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 (sqrt 1))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 69 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 70 / 411 ] 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 (27 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 (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 (sqrt (+ (* c c) (* d 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 1)) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 71 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 72 / 411 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (45 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 (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 (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 (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 (sqrt (+ (* c c) (* d 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 73 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (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 (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 74 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (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)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 75 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (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)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (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)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 76 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (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 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 77 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 78 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (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 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 79 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt 1) (cbrt (- (* b c) (* a d))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt 1) (cbrt (- (* b c) (* a d))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 80 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (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 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 81 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 82 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (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)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 83 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (66 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))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (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))))) * * * * [misc]progress: [ 84 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 85 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 86 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 87 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 88 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (fabs (cbrt (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 1)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* 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 (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 1)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 89 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 90 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 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 (69 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (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)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* 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 (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)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 91 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (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)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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)))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (sqrt (fabs (cbrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 92 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 93 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (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 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (52 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 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 94 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (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)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 95 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 96 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (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)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 97 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (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)))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 98 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (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)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 99 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 100 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (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 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 101 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 102 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (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 (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (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 (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 103 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 104 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 105 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 106 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 107 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 108 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (68 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 109 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (cbrt (- (* b c) (* a d))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 110 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 111 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 112 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 113 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (- (* b c) (* a d))) (/ (cbrt (- (* b c) (* a d))) (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (cbrt (- (* b c) (* a d))) (/ (cbrt (- (* b c) (* a d))) (sqrt 1))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (* (cbrt (- (* b c) (* a d))) (/ (cbrt (- (* b c) (* a d))) (sqrt 1))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 114 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 115 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (/ (* (sqrt 1) (sqrt (sqrt 1))) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (cbrt (- (* b c) (* a d))) (/ (* (sqrt 1) (sqrt (sqrt 1))) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt 1)) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 116 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 117 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (- (* b c) (* a d)))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 118 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (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 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 119 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 120 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (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 (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (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 (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 121 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 122 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 123 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 124 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 125 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 126 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (68 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 127 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 128 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (* (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 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 129 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 130 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 131 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (/ (* (sqrt (sqrt 1)) (sqrt 1)) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (cbrt (- (* b c) (* a d))) (/ (* (sqrt (sqrt 1)) (sqrt 1)) (cbrt (- (* b c) (* a d))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt 1))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 132 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 133 / 411 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (113 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 (sqrt (+ (* c c) (* d 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 (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 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: [ 134 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 135 / 411 ] 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 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 136 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (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 (sqrt (+ (* d d) (* c c)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 137 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (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 (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (fabs (cbrt (sqrt (+ (* d d) (* c c))))))) (/ (cbrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 138 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (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 (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (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 (fabs (cbrt (+ (* d d) (* c c)))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 139 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 140 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 141 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 142 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 143 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (+ (* d d) (* c c))))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 144 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (68 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 145 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 146 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (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)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 147 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (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 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 148 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (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 (49 enodes) * * [misc]simplify: iters left: 3 (74 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)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 149 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (- (* b c) (* a d)))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 150 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (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 (49 enodes) * * [misc]simplify: iters left: 3 (74 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)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 151 / 411 ] 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 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (* (/ (cbrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (- (* b c) (* a d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 152 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) 1) (sqrt (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 (49 enodes) * * [misc]simplify: iters left: 3 (74 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)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 153 / 411 ] 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 (76 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 (sqrt (+ (* c c) (* d 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 (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 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: [ 154 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 155 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 156 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 157 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 158 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 159 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 160 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 161 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 162 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 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 (46 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 163 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 164 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 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))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 165 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 166 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 167 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 168 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 169 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (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 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 170 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 171 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (* (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 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 172 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 173 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 174 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (33 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 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 175 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 176 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 177 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 178 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (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 (29 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 179 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 180 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 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))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 181 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 182 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 183 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 184 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 185 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 186 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 187 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 188 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 189 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 190 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 191 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (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) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 192 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* 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) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 193 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 194 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 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))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 195 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 196 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt 1) (sqrt (sqrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt 1) (sqrt (sqrt 1)))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt 1)) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 197 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 198 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 199 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 200 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 201 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 202 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 203 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 204 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 205 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 206 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 207 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 208 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 209 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (* (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 (39 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 210 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (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 (39 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 211 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (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) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 212 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt 1)) (sqrt 1))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt 1))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 213 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (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) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 214 / 411 ] 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 1) to (λ (a b c d) (/ (* (sqrt (- (* b c) (* a d))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 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: [ 215 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (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) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 216 / 411 ] 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 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 217 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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 (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 218 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (- (* b c) (* a d))) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 219 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (19 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 (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 220 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 221 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (sqrt (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 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 222 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 223 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 224 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (30 enodes) * * [misc]simplify: iters left: 3 (31 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: [ 225 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 226 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 (53 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 227 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 228 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (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 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 229 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (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) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 230 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 231 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (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) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 232 / 411 ] 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 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 2) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (/ (sqrt (- (* b c) (* a d))) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 233 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (* b c) (* a d))) 1) (sqrt (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) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 234 / 411 ] 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 1) to (λ (a b c d) (/ (* (sqrt (- (* b c) (* a d))) (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d 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 (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 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: [ 235 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (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 (48 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 (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 236 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (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 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (- (* b c) (* a d)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 237 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (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 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 238 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (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 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 239 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (sqrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (/ 1 (sqrt (sqrt 1))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 240 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (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 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 241 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 242 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (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 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 243 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) 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 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 244 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (- (* b c) (* a d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 245 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 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)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 246 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (fabs (cbrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 247 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 248 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (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 (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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 249 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 250 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [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 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (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 (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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 251 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 252 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) 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 (25 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (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 (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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 253 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 254 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (fabs (cbrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 255 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (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) * [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 (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 256 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 257 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 258 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 259 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt 1)) * * [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 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 260 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 261 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) 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 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 262 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 263 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 264 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 265 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 266 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 267 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 268 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 269 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 270 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 271 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 272 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 273 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 274 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 275 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 276 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 277 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt 1)) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 278 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 279 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt 1))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 280 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 281 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 282 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 283 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 284 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 285 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 286 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 287 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 288 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 289 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 290 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (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 1)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 291 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (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 (sqrt 1)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 292 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 293 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 294 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 295 / 411 ] 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 1) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 1) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ 1 1) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 296 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 297 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 298 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 299 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (- (* b c) (* a d)) (* (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 300 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 301 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 302 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt 1))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 303 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 304 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt 1)) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 305 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (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 (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (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 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (170 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: [ 306 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) 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 (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 307 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 308 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 309 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 310 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 311 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt 1))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 312 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 313 / 411 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 314 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (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 (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 315 / 411 ] 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 1) to (λ (a b c d) (/ (* 1 (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 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: [ 316 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 317 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 318 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 319 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 320 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt 1))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt 1))) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 321 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 322 / 411 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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 (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 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt 1)) (/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 323 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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 (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)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 324 / 411 ] 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 (sqrt (+ (* c c) (* d 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 (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 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: [ 325 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (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 (55 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 326 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 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 (/ (- (* b c) (* a d)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 327 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (15 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 (/ (- (* b c) (* a d)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 328 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (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 (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 329 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (11 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 (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt 1))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [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 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt 1))) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 330 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (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 (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 331 / 411 ] 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 (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)) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt 1)) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [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 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt 1)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 332 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (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 (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (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) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (/ 1 (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 333 / 411 ] 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 (84 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (- (* b c) (* a d)) * [misc]simplify: Simplified (2 1 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))))) * [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 2) to (λ (a b c d) (/ (* (- (* b c) (* a d)) (/ 1 (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 334 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (* (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 335 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (fabs (cbrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 336 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (sqrt (fabs (cbrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3))))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 337 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 338 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt 1))) * * [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 (140 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt 1))) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 339 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 340 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt 1)) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt 1)) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt 1)) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 341 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 342 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) 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 (132 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* (pow d 3) (pow d 3)) (* (pow c 3) (pow c 3)))))) (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* c c) 3) (pow (* d d) 3))))) 1) (/ (sqrt (sqrt (+ (* (* d d) (* d d)) (* (- (* c c) (* d d)) (* c c))))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 343 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* d d) (* c c))))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (cbrt (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) (* c c)) (* (* d d) (* d d)))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 344 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (cbrt (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) (* c c)) (* (* d d) (* d d)))))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 345 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (cbrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 346 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (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) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 347 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt (sqrt 1))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt 1))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (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) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 348 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (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) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 349 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (366 enodes) * [exit]simplify: Simplified to (/ (/ (- (* b c) (* a d)) (sqrt 1)) (sqrt (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt 1)) (sqrt (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (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) (* c c)) (* (* d d) (* d d)))))) (sqrt 1)) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 350 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (* (sqrt (sqrt (sqrt (+ (* d d) (* c c))))) (sqrt (sqrt (* (- (* c c) (* d d)) (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (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) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 351 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) 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 (166 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (* (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d))))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- (* c c) (* d d)))) (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) (* c c)) (* (* d d) (* d d)))))) (/ (sqrt (sqrt (- (* c c) (* d d)))) (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 352 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 353 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 354 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 355 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 356 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 357 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (cbrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 358 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 359 / 411 ] 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 1))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 360 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 361 / 411 ] 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 1)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 362 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt (+ (* c c) (* d d))))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 363 / 411 ] 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))))) 1) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 364 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a 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 (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d 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: [ 365 / 411 ] 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 (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 (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 (sqrt (+ (* c c) (* d d)))) (sqrt (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 366 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (* (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c)))))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* d d) (* c c))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 367 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (fabs (cbrt (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)))) (fabs (cbrt (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 368 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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)))) (sqrt (fabs (cbrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 369 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 370 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (13 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))) (/ (sqrt (sqrt 1)) (cbrt (- (* b c) (* a d))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (cbrt (- (* b c) (* a d))) (/ (sqrt (sqrt 1)) (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: [ 371 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 372 / 411 ] 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) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 373 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (32 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (* b c) (* a d))) (cbrt (- (* b c) (* a d)))) (sqrt (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 (sqrt (+ (* d d) (* c c)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 374 / 411 ] 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 (37 enodes) * * [misc]simplify: iters left: 2 (43 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 (sqrt (+ (* c c) (* d d)))) (/ (cbrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 375 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 376 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (sqrt (- (* b c) (* a d))) (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 377 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 378 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 379 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) * * [misc]simplify: iters left: 6 (12 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 (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt 1))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 380 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 381 / 411 ] 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) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (sqrt (- (* b c) (* a d))) (sqrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 382 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* b c) (* a d))) (sqrt (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 (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 383 / 411 ] 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 (sqrt (+ (* c c) (* d d)))) (/ (sqrt (- (* b c) (* a d))) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 384 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ 1 (* (cbrt (sqrt (sqrt (+ (* c c) (* d d))))) (cbrt (sqrt (sqrt (+ (* c c) (* d d))))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (cbrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 385 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt (+ (* c c) (* d d)))) (cbrt (sqrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ 1 (fabs (cbrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (cbrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 386 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* (cbrt (+ (* c c) (* d d))) (cbrt (+ (* c c) (* d d))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (fabs (cbrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (sqrt (cbrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 387 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 388 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt 1))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 389 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 390 / 411 ] 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 (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 391 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ 1 (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (sqrt (sqrt (+ (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 392 / 411 ] 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 (/ (sqrt (sqrt (+ (* c c) (* d d)))) (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 393 / 411 ] simplifiying candidate # * * * * [misc]progress: [ 394 / 411 ] 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 1) 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: [ 395 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (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 (67 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (pow (* d d) 3) (* (pow c 3) (pow c 3)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 396 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * [exit]simplify: Simplified to (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (/ (sqrt (sqrt (+ (* c c) (* d d)))) (sqrt (sqrt (- (* c c) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 397 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* (* c c) (* c c)) (- (* (* d d) (* d d)) (* (* c c) (* d d)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* 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 (+ (pow (* c c) 3) (pow (* d d) 3))))) (sqrt (sqrt (+ (* (* c c) (- (* c c) (* d d))) (* (* d d) (* d d)))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 398 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- (* c c) (* d d)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- (* c c) (* d d)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b c d) (/ (* (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (- (* (* c c) (* c c)) (* (* d d) (* d d)))))) (sqrt (sqrt (- (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 399 / 411 ] 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 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: [ 400 / 411 ] 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 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) d)) * * * * [misc]progress: [ 401 / 411 ] 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 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) c)) * * * * [misc]progress: [ 402 / 411 ] 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 (sqrt (+ (* c c) (* d d))))) (sqrt (sqrt (+ (* c c) (* d d))))) (- c))) * * * * [misc]progress: [ 403 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt d)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 404 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt c)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 405 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (- c))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 406 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying d * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to d * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt d)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 407 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying c * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to c * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt c)) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 408 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 c) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- c) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (a b c d) (/ (/ (/ (- (* b c) (* a d)) (sqrt (- c))) (sqrt (sqrt (+ (* c c) (* d d))))) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 409 / 411 ] 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: [ 410 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (- b (/ (* a d) c)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- b (* (/ d c) a)) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- b (* (/ d c) a)) (sqrt (+ (* c c) (* d d))))) * * * * [misc]progress: [ 411 / 411 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (* a d) c) b) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 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 (- (/ (* a d) c) b) * [misc]simplify: Simplified (2 1) to (λ (a b c d) (/ (- (/ (* a d) c) b) (sqrt (+ (* c c) (* d d))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # #) * * * [misc]regime-changes: Trying 5 branch expressions: (d a c b (/ (- (* b c) (* a d)) (+ (* c c) (* d d)))) * * * * [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]regimes: Trying to branch on (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) from (# # # # # # # # # # #) * * * [misc]regime: Found split indices: #